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Showing 1-20 of 216 results
  1. Hermite–Hadamard and Fejér-type inequalities for strongly reciprocally (p, h)-convex functions of higher order

    In this paper, we investigate the properties of a newly introduced class of functions, strongly reciprocally ( p , h )-convex functions of higher order....

    Han Li, Muhammad Shoaib Saleem, ... Kiran Naseem Aslam in Journal of Inequalities and Applications
    Article Open access 19 April 2023
  2. Some generalized Hermite–Hadamard–Fejér inequality for convex functions

    In this paper, we have established some generalized inequalities of Hermite–Hadamard–Fejér type for generalized integrals. The results obtained are...

    Miguel Vivas-Cortez, Péter Kórus, Juan E. Nápoles Valdés in Advances in Difference Equations
    Article Open access 08 April 2021
  3. Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates

    The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator...

    Yongsheng Rao, Muhammad Yussouf, ... Iskander Tlili in Advances in Difference Equations
    Article Open access 14 August 2020
  4. New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

    The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for...

    **aoli Qiang, Ghulam Farid, ... Atiq Ur Rahman in Journal of Inequalities and Applications
    Article Open access 17 July 2020
  5. Some Refinements of the Hermite–Hadamard Inequality with the Help of Weighted Integrals

    By using the definition of modified ( h, m, s )-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard...

    B. Bayraktar, J. E. Nápoles, F. Rabossi in Ukrainian Mathematical Journal
    Article 11 November 2023
  6. Refinements of the integral Jensen’s inequality generated by finite or infinite permutations

    There are a lot of papers dealing with applications of the so-called cyclic refinement of the discrete Jensen’s inequality. A significant...

    Article Open access 14 January 2021
  7. Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds

    Mann-type Tseng’s algorithm and Halpern-type Tseng’s algorithm are shown in this article. They are used to find a common solution from the set of...

    Konrawut Khammahawong, Parin Chaipunya, Poom Kumam in Advances in Operator Theory
    Article 17 July 2022
  8. Some inequalities for cr-log-h-convex functions

    The main purpose of this paper is to study certain inequalities for cr -log- h -convex functions with an interval value. To this end, we first give a...

    Wei Liu, Fangfang Shi, ... Dafang Zhao in Journal of Inequalities and Applications
    Article Open access 22 December 2022
  9. Lah–Ribarič type inequalities for (hgm)-convex functions

    Recently introduced new class of ( h g m )-convex functions unifies a certain range of convexity, thus allowing the generalizations of know results....

    Article 15 November 2021
  10. An introduction to mixed hemivariational inequality problems on Hadamard manifolds

    In this article, we introduce a category of mixed hemivariational inequality problems on Hadamard manifolds. Using Fan-KKM lemma we initiate the...

    S. Jana, C. Nahak in SeMA Journal
    Article 20 March 2021
  11. Hadamard k-fractional inequalities of Fejér type for GA-s-convex map**s and applications

    The main aim of this paper is to establish some Fejér-type inequalities involving hypergeometric functions in terms of GA- s -convexity. For this...

    Hui Lei, Gou Hu, ... Ting-Song Du in Journal of Inequalities and Applications
    Article Open access 17 October 2019
  12. New Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds

    We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in...

    Konrawut Khammahawong, Poom Kumam, ... Somyot Plubtieng in Fixed Point Theory and Algorithms for Sciences and Engineering
    Article Open access 22 February 2021
  13. On the fractional integral inclusions having exponential kernels for interval-valued convex functions

    The purpose of the present paper is to establish certain fractional integral inclusions having exponential kernels, which are related to the...

    Taichun Zhou, Zhengrong Yuan, Tingsong Du in Mathematical Sciences
    Article 29 October 2021
  14. On the Relationship Between the Kurdyka–Łojasiewicz Property and Error Bounds on Hadamard Manifolds

    This paper studies the interplay between the concepts of error bounds and the Kurdyka–Łojasiewicz (KL) inequality on Hadamard manifolds. To this end,...

    João Xavier da Cruz Neto, Ítalo Dowell Lira Melo, ... João Carlos de Oliveira Souza in Journal of Optimization Theory and Applications
    Article 11 February 2024
  15. Weighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions

    In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These...

    Hasan Kara, Hüseyin Budak, ... Yu-Ming Chu in Advances in Difference Equations
    Article Open access 10 February 2021
  16. Variance-Based Subgradient Extragradient Method for Stochastic Variational Inequality Problems

    In this paper, we propose a variance-based subgradient extragradient algorithm with line search for stochastic variational inequality problems by...

    Zhen-** Yang, ** Zhang, ... Gui-Hua Lin in Journal of Scientific Computing
    Article 18 August 2021
  17. Hermite–Hadamard–Fejér type inequalities involving generalized fractional integral operators

    Since the so-called Hermite–Hadamard type inequalities for convex functions were presented, their generalizations, refinements, and variants...

    Erhan Set, Junesang Choi, E. Aykan Alan in The Journal of Analysis
    Article 08 December 2018
  18. A New Approach About Equilibrium Problems via Busemann Functions

    In this paper, we consider the resolvent via Busemann functions introduced by Bento, Cruz Neto, Melo (J Optim Theory Appl 195:1087–1105, 2022), and...

    Glaydston de C. Bento, João X. Cruz Neto, ... Pedro Silva Filho in Journal of Optimization Theory and Applications
    Article 27 December 2023
  19. Proximal Point Method for Quasiconvex Functions in Riemannian Manifolds

    This paper studies the convergence of the proximal point method for quasiconvex functions in finite dimensional complete Riemannian manifolds. We...

    Article 27 June 2024
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