Papers / Articles
In Journals
 Recent results on large gaps between primes, arXiv:2402.07176
 The behaviour of a certain additive function in large intervals between consecutive primes, arXiv:2409.00394
 (with H. Maier) Prime Avoidance Property of kth Powers of PiatetskiShapiro Primes, arXiv:2306.16777
 (with J. Zhao, Q.L. Dong, F. Wang) Twostep inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems, Journal of Global Optimization, 84(4)(2022), 941966. DOI:10.1007/s10898022011766
 (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), 10631080, https://doi.org/10.1016/j.jnt.2021.10.014
 (with H. Maier) The ternary Goldbach problem with two PiatetskiShapiro primes and a prime with a missing digit, Communications in Contemporary Mathematics, 2022, https://doi.org/10.1142/S0219199721501017
 (with B. Yang and A. Raigorodskii) An Equivalent Form Related to a HilbertType Integral Inequality, Axioms, 2023, 12, 677, https://doi.org/10.3390/axioms12070677 (chosen as the cover of the Issue)
 (A. R. Baias and D. Popa) Setvalued solutions of an equation of Jensen type, Quaestiones Mathematicae, 46(6)(2023), 12371244.
 (with D. Andrica, O. Bagdasar and B. Yang) On a HilbertType 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/s13398023013889.
 (with B. Yang and A. Raigorodskii) Equivalent Conditions of a Multiple HilbertType 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/s13398022012380
 (with G. Souliotis and B. Papadopoulos) Fuzzy implications based on quasicopula and fuzzy negations, J. Nonlinear Sci. Appl., 16 (2023), 99110.
 (with B. Yang and A. Raigorodskii) Equivalent Conditions of the Reverse HardyType Integral Inequalities, Symmetry, 2023, 15(2), 463; https://doi.org/10.3390/sym15020463
 (with B. Yang) A New Hardy–HilbertType 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
 (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), 2346.

(with A. Bnouhachem) A Bregman proximal Peaceman Rachford splitting method for convex programming, Applied SetValued Analysis and Optimization,
4(2)(2022), 129143, DOI: 10.23952/asvao.4.2022.2.01  (with B. Yang, D. Andrica and O. Bagdasar) An Equivalent Property of a HilbertType Integral Inequality and Its Applications, Applicable Analysis and Discrete Mathematics, 16(2022), 548563.
 (with S. Acharjee and Á. Száz) Galois and Pataki connections for ordinary functions and super relations, Electron. J. Math., 4(2022), 4699, DOI: 10.47443/ejm.2022.017.
 (with A. R. Baias and D. Popa) Setvalued solutions of an equation of Jensen type, Quaestiones Mathematicae, https://doi.org/10.2989/16073606.2022.2072249
 (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), 303313 .
 (with Z. Hu et al), DouglasRachford Splitting Method with Linearization for the Split Feasibility Problem, Symmetry, 14(3):537(2022) https://doi.org/10.3390/sym14030537
 (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
 (with B. Yang and A. Raigorodskii) On an Extension of a HardyHilbertType Inequality with MultiParameters, Mathematics, 9(19):2432(2021), https://doi.org/10.3390/math9192432
 (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/s1159002101734z
 (with V. Gupta) Asymptotic formula in simultaneous approximation for certain IsmailMayBaskakov operators, Journal of Numerical Analysis and Approximation Theory, 50(2)(2021), 153163.

(with B. Yang and G. Meletiou) A More Accurate HalfDiscrete HilbertType Inequality in the Whole
Plane and the Reverses, Annals of Functional Analysis, (2021) 12:50, https://doi.org/10.1007/s4303402100133w  (with B. Yang and A. Raigorodskii) Equivalent Properties of Two Kinds of HardyType Integral Inequalities, Symmetry, 13(6):1006(2021), https://doi.org/10.3390/sym13061006
 (with B. Yang and A. Raigorodskii) A HilbertType Integral Inequality in the Whole Plane Related to the Arc Tangent Function, Symmetry, 13(2):351(2021), https://doi.org/10.3390/sym13020351
 (with Q.L. Dong and S. He) General splitting methods with linearization for the split feasibility problem, Journal of Global Optimization, 79(2021), 813836.
 (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.
 (with B. Yang and A. Raigorodskii) A New HardyMulhollandType Inequality with a Mixed Kernel, Advances in Operator Theory, 6(27)(2021), https://doi.org/10.1007/s43036020001230.
 (with H. Maier) Cotangent sums related to the Riemann Hypothesis for various shifts of the argument, Canadian Mathematical Bulletin, 63(3)(2020), 522535.
 (with M. A. Noor and K. I. Noor) New Trends in General Variational Inequalities, Acta Applicandae Mathematicae, 170(1)(2020), 9811064.
 (with M. Uzair Awan, et al.) Simpson Type Inequalities and Applications, The Journal of Analysis, Springer, doi: 10.1007/s41478021003194
 (with B. Yang and A. Raigorodskii) On a More Accurate Reverse HilbertType Inequality in the Whole Plane, Journal of Mathematical Inequalities, 14(4)(2020), 13591374.
 (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).
 (with C. Park) Homderivations in C*ternary algebras, Acta Mathematica Sinica, English Series, 36(9)(2020), 10251038.
 (with S.M. Jung, K.S. Lee and S.M. Yang) Approximation Properties of Solutions of a Mean ValueType Functional Inequality, II, Mathematics, 2020, 8, 1299; doi:10.3390/math8081299
 (with B. Yang and Andrei Raigorodskii) On HardyType Integral Inequalities in the Whole Plane Related to the Extended HurwitzZeta Function, Journal of Inequalities and Applications, 2020, 94 (2020). https://doi.org/10.1186/s13660020023651.
 (with B. Yang and Andrei Raigorodskii) On the Reverse Hardy Type Integral Inequalities in the Whole Plane with the Extended RiemannZeta Function, Journal of Mathematical Inequalities, 14(2)(2020), 525–546.
 (with H. Maier) Distribution of a cotangent sum related to the NymanBeurling criterion for the Riemann Hypothesis, Applied Mathematics and Computation, 363(15)(2019), https://doi.org/10.1016/j.amc.2019.124589.
 (with V. Gupta and D. Agrawal) Quantitative Estimates for Differences of Baskakovtype Operators, Complex Analysis and Operator Theory, 13(8)(2019), 40454064.
 (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), 22612275.
 (with H. Maier) Explicit estimates of sums related to the NymanBeurling criterion for the Riemann Hypothesis, Journal of Functional Analysis, 276(2019), 38323857.
 (with B. Yang) On an Equivalent Property of a Reverse HilbertType Integral Inequality Related to the Extended HurwitzZeta Function, Journal of Mathematical Inequalities, 13(2)(2019), 315334.
 (with B. Yang) On a Hilberttype integral inequality in the whole plane related to the extended Riemann zeta function, Complex Analysis and Operator Theory, 13(4)(2019), 17651782.
 (with B. Yang) A reverse Mulhollandtype inequality in the whole plane with multiparameters, Applicable Analysis and Discrete Mathematics, 13(1)(2019), 290308.
 (with M. R. Abdollahpour) HyersUlam stability of hypergeometric differential equations, Aequationes Mathematicae, (93)(4)(2019), 691698.
 (with B. Yang) On a Hilberttype integral inequality related to the extended Hurwitz zeta function in the whole plane, Acta Applicandae Mathematicae, 160(1)(2019), 6780.
 (with S. M. Jung and D. Nam) On the order of odd integers modulo 2^n, Applicable Analysis and Discrete Mathematics, 13(2019), 619631.
 (with H. Maier) On the size of an expression in the NymanBeurlingBaezDuarte criterion for the Riemann Hypothesis, Canadian Mathematical Bulletin, 61(3)(2018), 622627.
 (with B. Yang and A. Raigorodskii), Two Kinds of the Reverse HardyType Integral Inequalities with the Equivalent Forms Related to the Extended Riemann Zeta Function, Applicable Analysis and Discrete Mathematics, 12(2018), 273–296.
 (with B. Yang) Equivalent properties of a Hilberttype integral inequality with the best constant factor related to the Hurwitz zeta function, Annals of Functional Analysis, 9(2)(2018), 282295.
 (with H. Maier) Estimates of sums related to the NymanBeurling criterion for the Riemann Hypothesis, Journal of Number Theory, 188(2018), 96–120.
 (with E. Elqorachi) Generalized HyersUlam Stability of Trigonometric Functional Equations, Mathematics, 6(5):83(2018). https://doi.org/10.3390/math6050083
 (with H. Maier) Asymptotics for moments of certain cotangent sums for arbitrary exponents, Houston Journal of Mathematics, 43(4)(2017), 1235–1249.
 (with Y. H. Lee and S. M. Jung) Uniqueness theorems on functional inequalities concerning cubicquadraticadditive equation, Journal of Mathematical Inequalities, 12(1)(2018), 43–61.
 (with B. Yang) A halfdiscrete Hilberttype inequality in the whole plane related to the Riemann zeta function, Applicable Analysis, 97(9)(2018), 15051525.
 From a cotangent sum to a generalized totient function, Applicable Analysis and Discrete Mathematics, 11(2017), 369–385.
 (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.
 (with H. Maier) Asymptotics for moments of certain cotangent sums, Houston Journal of Mathematics, 43(1)(2017), 207222.
 (with B. Yang) Equivalent conditions of a Hardytype integral inequality related to the extended Riemann zeta function, Advances in Operator Theory, 2(3)(2017), 237 256.
 (with H. Maier) Large gaps between consecutive prime numbers containing perfect kth powers of prime numbers, Journal of Functional Analysis, 272(2017), 26592696.
 (with H. Maier) The ternary Goldbach problem with a prime and two isolated primes, Proceedings of the Steklov Institute of Mathematics, 296(2017), 183197. Also translated in Russian and published in Trudy Matematich. Instituta im. V.A. Steklova, 296(2017), 192206.
 (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.
 (with M. R. Abdollahpour and R. Aghayaria) HyersUlam stability of associated Laguerre differential equations in a subclass of analytic functions, Journal of Mathematical Analysis and Applications, 437(2016), 605 612.
 (with H. Maier) The rate of growth of moments of certain cotangent sums, Aequationes Mathematicae, 90(3)(2016), 581 595.
 (with H. Maier) Large gaps between consecutive prime numbers containing squarefree numbers and perfect powers of prime numbers, Proceedings of the American Mathematical Society, 144(2016), 3347  3354.
 (with B. Yang) On a HardyHilberttype inequality with a general homogeneous kernel, International Journal of Nonlinear Analysis and Applications, 7(1)(2016), 249269.
 (with H. Maier) The order of magnitude for moments for certain cotangent sums, Journal of Mathematical Analysis and Applications, 429(1)(2015), 576590.
 (with B. Yang) A Hilberttype integral inequality in the whole plane related to the hypergeometric function and the Beta function, Journal of Mathematical Analysis and Applications, 428(2)(2015), 12861308.
 (with S. M. Jung and C. Mortici) On a functional equation of trigonometric type, Applied Mathematics and Computation, 252(2015), 294303.
 (with C. Mortici) On the growth rate of divergent series, Journal of Number Theory, 147(2015), 499–507.
 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.
 (with B. Yang) On a multidimensional Hilberttype integral inequality associated to the Gamma function, Applied Mathematics and Computation, 249(2014), 408418.
 (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.
 (with B. Yang) On a multidimensional halfdiscrete Hilberttype inequality related to the hyperbolic cotangent function, Applied Mathematics and Computation, 242(2014), 800–813.
 (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.
 A cotangent sum related to zeros of the Estermann zeta function, Applied Mathematics and Computation, 240(2014), 161–167.
 (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.
 (with Y. H. Lee and S. M. Jung) On an ndimensional mixed type additive and quadratic functional equation, Applied Mathematics and Computation, 228(2014), 13–16.
 (with B. Yang) A multidimensional halfdiscrete Hilberttype inequality and the Riemann zeta function, Applied Mathematics and Computation, 225(2013), 263–277.
 (with B. Yang) On halfdiscrete Hilbert’s inequality, Applied Mathematics and Computation, 220(2013), 75–93.
 (with G. V. Milovanović) Some properties of a hypergeometric function which appear in an approximation problem, Journal of Global Optimization, 57(2013), 1173–1192.
 (with P. Mihăilescu) Public key cryptography, number theory and applications, Newsletter, European Mathematical Society, 86(2012), 25–30.
In collected volumes

(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, 237257.

(with B. C. Yang and A. M. Raigorodskii) On a Reverse HilbertType Inequality in the Whole Plane with MultiParameters, In: Exploring Mathematical Analysis, Approximation Theory, and Optimization: 270 Years Since A.M. Legendre’s Birth, Springer, 2023, 259278.

(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, 333362.

(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, 2146.

(with S. Acharjee and Á. Száz) Galois and Pataki Connections on Power Sets, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 176.

(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., 7796.

(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., 571585.

(with R. Murali et al) Aboodh transform and Ulam stability of secondorder linear differential equations, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 587616.

(with M. A. Noor et al) Biconvex functions and bivariational inequalities, In: Mathematical Analysis, Differential Equations and Applications, World Scientific Publ. Co., 657687.

(with L. Liu et al), A viscosity iterative method with alternated inertial terms for solving the split feasibility problem, In: HighDimensional Optimization and Probability, 359372.

(with D. Andrica and O. Bagdasar) Weak pseudoprimality associated with the generalized Lucas sequences, In: Approximation and Computation in Science and Engineering, 2022, Springer, 5375.

(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)

(with B. Yang and A. M. Raigorodskii) On a HalfDiscrete HilbertType Inequality in the Whole Plane with the Hyperbolic Tangent Function and Parameters, In: Approximation Theory and Analytic Inequalities, Springer, 2021, 405434.

(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, 41112.

(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, 641657.

(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, 341364.

(with G. C. Meletiou) Interpolation of Zech's Logarith  Explicit forms, In: Approximation and Computation in Science and Engineering, 2022, Springer, 619626.

(with M.A. Noor, K.I. Noor, B. BinMohsen and A.M. Raigorodskii) General preinvex functions and variationallike inequalities, In: Approximation and Computation in Science and Engineering, Springer, 2022, 643666.

(with B. Yang, D. Andrica and O. Bagdasar) On Two Kinds of the HardyType Integral Inequalities in the Whole Plane with the Equivalent Forms, In: Mathematical Analysis in Interdisciplinary Research, 2021, Springer, 10251048.

(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)

(with Á. Száz) Basic tools and continuitylike properties in relator spaces, Contributions to Mathematics, Contrib. Math., 3(2021), 77106, DOI: 10.47443/cm.2021.0016

(with H. Maier) Prime avoidance property of kth powers of prime numbers with Beatty sequences, In: Discrete Mathematics and Applications, Springer, 2020, 397404.

(with B. Yang and A. Raigorodskii) On a HalfDiscrete HilbertType 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, 229259.

(with H. Maier and A. Raigorodskii) The maximum of cotangent sums related to the NymanBeurling criterion for the Riemann Hypothesis, In: Trigonometric Sums and their Applications, Springer, 2020, 149158.

(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, 165186.
 (with B. Yang) A halfdiscrete HardyHilberttype 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, 183218.
 (with H. Maier) Asymptotics and equidistribution of cotangent sums associated to the Estermann and Riemann zeta functions, In: From Arithmetic to ZetaFunctions. Number Theory in Memory of Wolfgang Schwarz, Springer, Basel, 2016, 277293.
 (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, 329343.
 (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, 461491.
 (with B. Yang) Parameterized YangHilberttype integral inequalities and their operator expressions, In: Computation, Cryptography, and Network Security, Springer, New York, 2015, 635736.
 (with B. Yang) A multidimensional Hilberttype integral inequality related to the Riemann zeta function, In: Applications of Mathematics and Informatics in Science and Engineering, Springer, New York, 2014, 417–433.
 (with P. Mihăilescu) Computational number theory and cryptography, In: Applications of Mathematics and Informatics in Science and Engineering, Springer, New York, 2014, 349–373.