Papers / Articles

In Journals

  1. Recent results on large gaps between primes, arXiv:2402.07176
  2. The behaviour of a certain additive function in large intervals between consecutive primes, arXiv:2409.00394
  3. (with H. Maier) Prime Avoidance Property of k-th Powers of Piatetski-Shapiro Primes, arXiv:2306.16777
  4. (with J. Zhao, Q.-L. Dong, F. Wang) Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems, Journal of Global Optimization, 84(4)(2022), 941-966.  DOI:10.1007/s10898-022-01176-6
  5. (with P. Mihăilescu) Double exponential lower bounds for possible solutions in the Second Case of the Fermat Last Theorem, Journal of Number Theory, 238(2022), 1063-1080, https://doi.org/10.1016/j.jnt.2021.10.014
  6. (with H. Maier) The ternary Goldbach problem with two Piatetski-Shapiro primes and a prime with a missing digit, Communications in Contemporary Mathematics, 2022, https://doi.org/10.1142/S0219199721501017
  7. (with B. Yang and A. Raigorodskii) An Equivalent Form Related to a Hilbert-Type Integral Inequality, Axioms, 2023, 12, 677, https://doi.org/10.3390/axioms12070677 (chosen as the cover of the Issue)
  8. (A. R. Baias and D. Popa) Set-valued solutions of an equation of Jensen type, Quaestiones Mathematicae, 46(6)(2023), 1237-1244.
  9. (with D. Andrica, O. Bagdasar and B. Yang) On a Hilbert-Type Integral Inequality in the Whole Plane with the Equivalent Forms,  Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, doi 10.1007/s13398-023-01388-9.
  10. (with B. Yang and A. Raigorodskii) Equivalent Conditions of a Multiple Hilbert-Type Integral Inequality with the Nonhohogeneous Kernel, Revista de la Real Academia de Ciencias Exactas, Serie A. Matemáticas, 116, 107 (2022), https://doi.org/10.1007/s13398-022-01238-0
  11. (with G. Souliotis and B. Papadopoulos) Fuzzy implications based on quasi-copula and fuzzy negations, J. Nonlinear Sci. Appl., 16 (2023), 99-110.
  12. (with B. Yang and A. Raigorodskii) Equivalent Conditions of the Reverse Hardy-Type Integral Inequalities, Symmetry, 2023, 15(2), 463; https://doi.org/10.3390/sym15020463
  13. (with B. Yang) A New Hardy–Hilbert-Type Integral Inequality Involving One Multiple Upper Limit Function and One Derivative Function of Higher Order, Axioms, 2023, 12(5), 499; https://doi.org/10.3390/axioms12050499
  14. (with D. Andrica and O. Bagdasar) On some links between the generalised Lucas pseudoprimes of level k, Analele Stiintifice ale Universitatii Ovidius Constanta, 31(1)(2023), 23-46.
  15. (with A. Bnouhachem) A Bregman proximal Peaceman- Rachford splitting method for convex programming, Applied Set-Valued Analysis and Optimization,
    4(2)(2022), 129-143, DOI: 10.23952/asvao.4.2022.2.01
  16. (with B. Yang, D. Andrica and O. Bagdasar) An Equivalent Property of a Hilbert-Type Integral Inequality and Its Applications, Applicable Analysis and Discrete Mathematics, 16(2022), 548-563.
  17. (with S. Acharjee and Á. Száz) Galois and Pataki connections for ordinary functions and super relations, Electron. J. Math., 4(2022), 46-99, DOI: 10.47443/ejm.2022.017.
  18. (with A. R. Baias and D. Popa) Set-valued solutions of an equation of Jensen type, Quaestiones Mathematicae, https://doi.org/10.2989/16073606.2022.2072249
  19. (with H. Maier) On the maximum of cotangent sums related to the Riemann Hypothesis in rational numbers in short intervals,  Moscow Journal of Combinatorics and Number Theory, 10(4)(2021), 303-313 .
  20. (with Z. Hu et al), Douglas-Rachford Splitting Method with Linearization for the Split Feasibility Problem, Symmetry, 14(3):537(2022) https://doi.org/10.3390/sym14030537
  21. (with R. Goyal et al), An extension of the beta function by using Wiman's function, Axioms, 10(3):187(2021), https://doi.org/10.3390/axioms10030187
  22. (with B. Yang and A. Raigorodskii) On an Extension of a Hardy-Hilbert-Type Inequality with Multi-Parameters, Mathematics, 9(19):2432(2021), https://doi.org/10.3390/math9192432
  23. (with D. V. Thong, P. Cholamjiak and Y. Je Cho) Strong convergence of inertial subgradient extragradient algorithm for solving pseudomonotone equilibrium problems, Optimization Letters, https://doi.org/10.1007/s11590-021-01734-z
  24. (with V. Gupta) Asymptotic formula in simultaneous approximation for certain Ismail-May-Baskakov operators, Journal of Numerical Analysis and Approximation Theory, 50(2)(2021), 153-163. 
  25. (with B. Yang and G. Meletiou) A More Accurate Half-Discrete Hilbert-Type Inequality in the Whole
    Plane and the Reverses    ,      Annals of Functional Analysis,  (2021) 12:50, https://doi.org/10.1007/s43034-021-00133-w
  26. (with B. Yang and A. Raigorodskii) Equivalent Properties of Two Kinds of Hardy-Type Integral Inequalities, Symmetry, 13(6):1006(2021), https://doi.org/10.3390/sym13061006
  27. (with B. Yang and A. Raigorodskii) A Hilbert-Type Integral Inequality in the Whole Plane Related to the Arc Tangent Function, Symmetry, 13(2):351(2021), https://doi.org/10.3390/sym13020351
  28. (with Q.-L. Dong and  S. He) General splitting methods with linearization for the split feasibility problem, Journal of Global Optimization, 79(2021), 813-836.
  29. (with N. Akhtar, et al.) Ostrowski type inequalities involving harmonically convex functions and applications, Symmetry, 13(2):201(2021), https://doi.org/10.3390/sym13020201.
  30. (with B. Yang and A. Raigorodskii) A New Hardy-Mulholland-Type Inequality with a Mixed Kernel, Advances in Operator Theory, 6(27)(2021), https://doi.org/10.1007/s43036-020-00123-0.
  31. (with H. Maier) Cotangent sums related to the Riemann Hypothesis for various shifts of the argument, Canadian Mathematical Bulletin, 63(3)(2020), 522-535.
  32. (with M. A. Noor and K. I. Noor) New Trends in General Variational Inequalities, Acta Applicandae Mathematicae, 170(1)(2020), 981-1064.
  33. (with M. Uzair Awan, et al.) Simpson Type Inequalities and Applications, The Journal of Analysis, Springer, doi: 10.1007/s41478-021-00319-4
  34. (with B. Yang and A. Raigorodskii) On a More Accurate Reverse Hilbert-Type Inequality in the Whole Plane, Journal of Mathematical Inequalities, 14(4)(2020), 1359-1374.
  35. (with B. Yang) Equivalent Conditions of a Reverse Hilbert -Type Integral Inequality in the Whole Plane and Applications, Applicable Analysis and Discrete Mathematics (to appear).
  36. (with C. Park) Hom-derivations in C*-ternary algebras, Acta Mathematica Sinica, English Series, 36(9)(2020), 1025-1038.
  37. (with S.-M. Jung, K.-S. Lee and S.-M. Yang) Approximation Properties of Solutions of a Mean Value-Type Functional Inequality, II,  Mathematics, 2020, 8, 1299; doi:10.3390/math8081299
  38. (with B. Yang and Andrei Raigorodskii) On Hardy-Type Integral Inequalities in the Whole Plane  Related to the Extended Hurwitz-Zeta Function, Journal of Inequalities and Applications, 2020, 94 (2020). https://doi.org/10.1186/s13660-020-02365-1.
  39. (with B. Yang and Andrei Raigorodskii) On the Reverse Hardy -Type Integral Inequalities in the Whole Plane with the Extended Riemann-Zeta Function, Journal of Mathematical Inequalities, 14(2)(2020), 525–546.
  40. (with H. Maier) Distribution of a cotangent sum related to the Nyman-Beurling criterion for the Riemann Hypothesis, Applied Mathematics and Computation, 363(15)(2019), https://doi.org/10.1016/j.amc.2019.124589.
  41. (with V. Gupta and D. Agrawal) Quantitative Estimates for Differences of Baskakov-type Operators, Complex Analysis and Operator Theory, 13(8)(2019), 4045-4064.
  42. (with C. Park) Additive functional equations and partial multipliers in  C*-algebras, Revista de la Real Academia de Ciencias Exactas, Serie A. Matemáticas, 113(3)(2019), 2261-2275.
  43. (with H. Maier) Explicit estimates of sums related to the Nyman-Beurling criterion for the Riemann Hypothesis, Journal of Functional Analysis, 276(2019), 3832-3857. 
  44. (with B. Yang) On an Equivalent Property of a Reverse Hilbert-Type Integral Inequality Related to the Extended Hurwitz-Zeta Function, Journal of Mathematical Inequalities, 13(2)(2019), 315-334.
  45. (with B. Yang) On a Hilbert-type integral inequality in the whole plane related to the extended Riemann zeta function, Complex Analysis and Operator Theory, 13(4)(2019), 1765-1782.
  46. (with B. Yang) A reverse Mulholland-type inequality in the whole plane with multi-parameters, Applicable Analysis and Discrete Mathematics, 13(1)(2019), 290-308.
  47. (with M. R. Abdollahpour) Hyers-Ulam stability of hypergeometric differential equations, Aequationes Mathematicae, (93)(4)(2019), 691-698.
  48. (with B. Yang) On a Hilbert-type integral inequality related to the extended Hurwitz zeta function in the whole plane, Acta Applicandae Mathematicae, 160(1)(2019), 67-80.
  49. (with S. -M. Jung and D. Nam) On the order of odd integers modulo 2^n, Applicable Analysis and Discrete Mathematics, 13(2019), 619-631.
  50. (with H. Maier) On the size of an expression in the Nyman-Beurling-Baez-Duarte criterion for the Riemann Hypothesis, Canadian Mathematical Bulletin, 61(3)(2018), 622-627.
  51. (with B. Yang and A. Raigorodskii), Two Kinds of the Reverse Hardy-Type Integral Inequalities with the Equivalent Forms Related to the Extended Riemann Zeta Function, Applicable Analysis and Discrete Mathematics, 12(2018), 273–296.
  52. (with B. Yang) Equivalent properties of a Hilbert-type integral inequality with the best constant factor related to the Hurwitz zeta function, Annals of Functional Analysis, 9(2)(2018), 282-295.
  53. (with H. Maier) Estimates of sums related to the Nyman-Beurling criterion for the Riemann Hypothesis, Journal of Number Theory, 188(2018), 96–120.
  54. (with E. Elqorachi) Generalized Hyers-Ulam Stability of Trigonometric Functional Equations, Mathematics, 6(5):83(2018). https://doi.org/10.3390/math6050083
  55. (with H. Maier) Asymptotics for moments of certain cotangent sums for arbitrary exponents, Houston Journal of Mathematics, 43(4)(2017), 1235–1249.
  56. (with Y. -H. Lee and S. -M. Jung) Uniqueness theorems on functional inequalities concerning cubic-quadratic-additive equation, Journal of Mathematical Inequalities, 12(1)(2018), 43–61.
  57. (with B. Yang) A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function, Applicable Analysis, 97(9)(2018), 1505-1525.
  58. From a cotangent sum to a generalized totient function, Applicable Analysis and Discrete Mathematics, 11(2017), 369–385.
  59. (with H. Maier) The maximum of cotangent sums related to Estermann's zeta function in rational numbers in short intervals, Applicable Analysis and Discrete Mathematics, 11(2017), 166–176.
  60. (with H. Maier) Asymptotics for moments of certain cotangent sums, Houston Journal of Mathematics, 43(1)(2017), 207-222.
  61. (with B. Yang) Equivalent conditions of a Hardy-type integral inequality related to the extended Riemann zeta function, Advances in Operator Theory, 2(3)(2017), 237- 256.
  62. (with H. Maier) Large gaps between consecutive prime numbers containing perfect k-th powers of prime numbers, Journal of Functional Analysis, 272(2017), 2659-2696.
  63. (with H. Maier) The ternary Goldbach problem with a prime and two isolated primes, Proceedings of the Steklov Institute of Mathematics, 296(2017), 183-197. Also translated in Russian and published in Trudy Matematich. Instituta im. V.A. Steklova, 296(2017), 192-206.
  64. (with H. Maier) Generalizations of a cotangent sum associated to the Estermann zeta function, Communications in Contemporary Mathematics, 18(1)(2016), 89 pages, DOI: 10.1142/S0219199715500789.
  65. (with M. R. Abdollahpour and R. Aghayaria) Hyers-Ulam stability of associated Laguerre differential equations in a subclass of analytic functions, Journal of Mathematical Analysis and Applications, 437(2016), 605- 612.
  66. (with H. Maier) The rate of growth of moments of certain cotangent sums, Aequationes Mathematicae, 90(3)(2016), 581- 595.
  67. (with H. Maier) Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers, Proceedings of the American Mathematical Society, 144(2016), 3347 - 3354.
  68. (with B. Yang) On a Hardy-Hilbert-type inequality with a general homogeneous kernel, International Journal of Nonlinear Analysis and Applications, 7(1)(2016), 249-269.
  69. (with H. Maier) The order of magnitude for moments for certain cotangent sums, Journal of Mathematical Analysis and Applications, 429(1)(2015), 576-590.
  70. (with B. Yang) A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the Beta function, Journal of Mathematical Analysis and Applications, 428(2)(2015), 1286-1308.
  71. (with S. -M. Jung and C. Mortici) On a functional equation of trigonometric type, Applied Mathematics and Computation, 252(2015), 294-303.
  72. (with C. Mortici) On the growth rate of divergent series, Journal of Number Theory, 147(2015), 499–507.
  73. On the representation of the number of integral points of an elliptic curve modulo a prime number, The Ramanujan Journal, Springer, 36(3)(2015), 483–499.
  74. (with B. Yang) On a multidimensional Hilbert-type integral inequality associated to the Gamma function, Applied Mathematics and Computation, 249(2014), 408-418.
  75. (with C. Mortici and S. -M. Jung) On the stability of a functional equation associated with the Fibonacci numbers, Abstract and Applied Analysis, Volume 2014 (2014), Article ID 546046, 6 pages.
  76. (with B. Yang) On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function, Applied Mathematics and Computation, 242(2014), 800–813.
  77. (with S. -M. Jung) A linear functional equation of third order associated to the Fibonacci numbers, Abstract and Applied Analysis, Volume 2014 (2014), Article ID 137468, 7 pages.
  78. A cotangent sum related to zeros of the Estermann zeta function, Applied Mathematics and Computation, 240(2014), 161–167.
  79. (with S. -M. Jung and D. Popa) On the stability of the linear functional equation in a single variable on complete metric groups, Journal of Global Optimization, 59(2014), 165–171.
  80. (with Y. -H. Lee and S. -M. Jung) On an n-dimensional mixed type additive and quadratic functional equation, Applied Mathematics and Computation, 228(2014), 13–16.
  81. (with B. Yang) A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function, Applied Mathematics and Computation, 225(2013), 263–277.
  82. (with B. Yang) On half-discrete Hilbert’s inequality, Applied Mathematics and Computation, 220(2013), 75–93.
  83. (with G. V. Milovanović) Some properties of a hypergeometric function which appear in an approximation problem, Journal of Global Optimization, 57(2013), 1173–1192.
  84. (with P. Mihăilescu) Public key cryptography, number theory and applications, Newsletter, European Mathematical Society, 86(2012), 25–30.

In collected volumes

  1. (with M. A. Noor et al) A Unified Approach to Extended General Quasi Variational Inclusions, In: Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.-M. Legendre’s Birth, Springer, 2023, 237-257.

  2. (with B. C. Yang and A. M. Raigorodskii) On a Reverse Hilbert-Type Inequality in the Whole Plane with Multi-Parameters, In: Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.-M. Legendre’s Birth, Springer, 2023, 259-278.

  3. (with H. Maier) The ternary Goldbach problem with a missing digit and other primes of special types, In: Analysis at Large: Dedicated to the Life and Work of Jean Bourgain, Springer, 2022, 333-362.

  4. (with I. Christou, S. Efremidis, G. Klian and G. Meletiou) Using Blockchains to support Supply Chain Security, In: Analysis, Cryptography and Information Science, World Scientific Publ. Co., 2023, 21-46.

  5. (with S. Acharjee and Á. Száz) Galois and Pataki Connections on Power Sets, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 1-76.

  6. (with A. Alinejad et al) A functional equation related to inner product spaces in Serstnev probabilistic normed spaces, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 77-96.

  7. (with J. R. Lee and C. Park) Lie bracket derivations in Banach Lie Algebras, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 571-585.

  8. (with R. Murali et al) Aboodh transform and Ulam stability of second-order linear differential equations, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 587-616.

  9. (with M. A. Noor et al) Biconvex functions and bivariational inequalities, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 657-687.

  10. (with L. Liu et al), A viscosity iterative method with alternated inertial terms for solving the split feasibility problem, In: High-Dimensional Optimization and Probability, 359-372.

  11. (with D. Andrica and O. Bagdasar) Weak pseudoprimality associated with the generalized Lucas sequences, In: Approximation and Computation in Science and Engineering, 2022, Springer, 53-75.

  12. (with Y. Peng, Q.L. Dong) Alternated inertial viscosity methods for  the split equality problem, In: Global Optimization, Computation, Approximation and Applications, World Scientific (to appear)

  13. (with B. Yang and A. M. Raigorodskii) On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters, In: Approximation Theory and Analytic Inequalities, Springer, 2021, 405-434.

  14. (with S. Acharjee and Á. Száz) Upper and Lower Semicontinuous Relations in Relator Spaces,  In: Analysis, Geometry, Nonlinear Optimization and Applications, World Scientific Publ. Co., 2023, 41-112.

  15. (with M.A. Noor and K.I. Noor) System of General Variational Inclusions, In: Analysis, Geometry, Nonlinear Optimization and Applications, World Scientific Publ. Co., 2023, 641-657.

  16. (with M.A. Noor and K.I. Noor) Characterizations of higher order strongly generalized convex functions, In: Nonlinear Analysis, Differential Equations, and Applications, Springer, 2021, 341-364. 

  17. (with G. C. Meletiou) Interpolation of  Zech's Logarith - Explicit forms, In: Approximation and Computation in Science and Engineering, 2022, Springer, 619-626.

  18. (with M.A. Noor, K.I. Noor, B. Bin-Mohsen and A.M. Raigorodskii) General preinvex functions and variational-like inequalities, In: Approximation and Computation in Science and Engineering, Springer, 2022, 643-666.

  19. (with B. Yang, D. Andrica and O. Bagdasar) On Two Kinds of the Hardy-Type Integral Inequalities in the Whole Plane with the Equivalent Forms, In: Mathematical Analysis in Interdisciplinary Research, 2021, Springer, 1025-1048.

  20. (with M.A. Noor and K.I. Noor) Strongly biconvex functions and bivariational inequalities, In: Mathematical Analysis, Optimization, Approximation and Applications, World Scientific Publ. Co. (to appear)

  21. (with Á. Száz) Basic tools and continuity-like properties in relator spaces, Contributions to Mathematics, Contrib. Math., 3(2021), 77-106, DOI: 10.47443/cm.2021.0016

  22. (with H. Maier) Prime avoidance property of k-th powers of prime numbers with Beatty sequences, In: Discrete Mathematics and Applications, Springer, 2020, 397-404.

  23. (with B. Yang and A. Raigorodskii) On a Half-Discrete Hilbert-Type Inequality in the Whole Plane with the Kernel of Hyperbolic Secant Function Related to the Hurwitz Zeta Function, In: Trigonometric Sums and their Applications, Springer, 2020, 229-259.

  24. (with H. Maier and A. Raigorodskii) The maximum of cotangent sums related to the Nyman-Beurling criterion for the Riemann Hypothesis, In: Trigonometric Sums and their Applications, Springer, 2020, 149-158.

  25. (with A. Raigorodskii) Maier's Matrix Method and irregularities in the distribution of prime numbers, In: Irregularities in the Distribution of Prime Numbers, Springer, 2018, 165-186.

  26. (with B. Yang) A half-discrete Hardy-Hilbert-type inequality with a best possible constant factor related to the Hurwitz zeta function, In: Progress in Approximation Theory and Applicable Complex Analysis: In the Memory of Q. I. Rahman, Springer, 2017, 183-218.
  27. (with H. Maier) Asymptotics and equidistribution of cotangent sums associated to the Estermann and Riemann zeta functions, In: From Arithmetic to Zeta-Functions. Number Theory in Memory of Wolfgang Schwarz, Springer, Basel, 2016, 277-293.
  28. (with L. Tóth) Trigonometric representations of generalized Dedekind and Hardy sums via the discrete Fourier transform, In: Analytic Number Theory. In honor of Helmut Maier's 60th birthday, Springer, New York, 2015, 329-343.
  29. (with B. Tams and P. Mihăilescu) Current challenges for IT security with focus on Biometry, In: Computation, Cryptography, and Network Security, Springer, New York, 2015, 461-491.
  30. (with B. Yang) Parameterized Yang-Hilbert-type integral inequalities and their operator expressions, In: Computation, Cryptography, and Network Security, Springer, New York, 2015, 635-736.
  31. (with B. Yang) A multidimensional Hilbert-type integral inequality related to the Riemann zeta function, In: Applications of Mathematics and Informatics in Science and Engineering, Springer, New York, 2014, 417–433.
  32. (with P. Mihăilescu) Computational number theory and cryptography, In: Applications of Mathematics and Informatics in Science and Engineering, Springer, New York, 2014, 349–373.