Results 1 to 10 of about 44,116 (181)
A Note on Characterization of h-Convex Functions via Hermite-Hadamard Type Inequality [PDF]
Проблемы анализа, 2019 A characterization of h-convex function via Hermite-Hadamard inequality related to the h-convex functions is investigated. In fact it is determined that under what conditions a function is h-convex, if it satisfies the h-convex version of Hermite ...
Delavar M. Rostamian +2 more
doaj +3 more sources
Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function
Fractal and Fractional, 2023 For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj +1 more source
HERMITE-HADAMARD TYPE INEQUALITIES FOR CONFORMABLE INTEGRALS VIA η-CONVEX FUNCTIONS [PDF]
, 2023 Many recent results have been. This inequality has many applications in the area of pure and applied mathematics. In this paper, our main aim is to give results for conformable integral version of Hermite-Hadamard inequality for η-convex functions. First,
Khan, Mohammad Adil, Khurshid, Yousaf
core +1 more source
Conformable integral version of Hermite-Hadamard-Fejér inequalities via η-convex functions
AIMS Mathematics, 2020 The purpose of the article is to use symmetric η-convex functions to develop Hermite-Hadamard-Fejér inequality for conformable integral. We establish several conformable integral versions of Hermite-Hadamard-Fejér type inequality for the η-convex ...
Yousaf Khurshid +2 more
doaj +1 more source
Advances in Difference Equations, 2021 In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean ...
Muhammad Amer Latif
doaj +1 more source
Hermite–Hadamard-Type Inequalities and Two-Point Quadrature Formula
Mathematics, 2022 As convexity plays an important role in many aspects of mathematical programming, e.g., for obtaining sufficient optimality conditions and in duality theorems, and one of the most important inequalities for convex functions is the Hermite–Hadamard ...
Josipa Barić
doaj +1 more source
Hermite-Hadamard inequality for new generalized conformable fractional operators
AIMS Mathematics, 2021 This paper is concerned to establish an advanced form of the well-known Hermite-Hadamard (HH) inequality for recently-defined Generalized Conformable (GC) fractional operators.
Tahir Ullah Khan, Muhammad Adil Khan
doaj +1 more source
Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj +1 more source
New discrete inequalities of Hermite–Hadamard type for convex functions
Advances in Difference Equations, 2021 We introduce new time scales on Z $\mathbb{Z}$ . Based on this, we investigate the discrete inequality of Hermite–Hadamard type for discrete convex functions.
Pshtiwan Othman Mohammed +3 more
doaj +1 more source
Some fractional integral inequalities via h-Godunova-Levin preinvex function
AIMS Mathematics, 2022 In recent years, integral inequalities are investigated due to their extensive applications in several domains. The aim of the paper is to investigate certain new fractional integral inequalities which include Hermite-Hadamard inequality and different ...
Sabila Ali +5 more
doaj +1 more source