Results 1 to 10 of about 250,699 (239)

Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions [PDF]

The Scientific World Journal, 2014
We establish some estimates of the right-hand side of Hermite-Hadamard type inequalities for functions whose derivatives absolute values are harmonically s-convex.
Feixiang Chen, Shanhe Wu
doaj   +3 more sources

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings [PDF]

Mathematics, 2021
In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Muhammad Aamir Ali, Hüseyin Budak, Thanin Sitthiwirattham   +2 more
exaly   +4 more sources

Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane [PDF]

Journal of Inequalities and Applications, 2019
In this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
Ali Barani
exaly   +4 more sources

Extensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals [PDF]

Journal of Inequalities and Applications, 2021
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals.
Xue-Xiao You, Muhammad Aamir Ali, Hüseyin Budak, Praveen Agarwal, Yu-Ming Chu   +4 more
doaj   +2 more sources

Some New Estimates of Fuzzy Integral Inequalities for Harmonically Convex Fuzzy-Number-Valued Mappings via up and down Fuzzy Relation

Axioms, 2023
In this article, the up and down harmonically convex fuzzy-number-valued mapping which is a novel kind of harmonically convex fuzzy-number-valued mapping is introduced.
Muhammad Bilal Khan, Aziz Ur Rahman, Abdulwadoud A. Maash, Savin Treanțǎ, Mohamed S. Soliman   +4 more
doaj   +2 more sources

Weighted Midpoint Hermite-Hadamard-Fejér Type Inequalities in Fractional Calculus for Harmonically Convex Functions

Fractal and Fractional, 2021
In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Miguel Vivas-Cortez, Hijaz Ahmad, Humaira Kalsoom   +2 more
exaly   +3 more sources

Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function [PDF]

Journal of Inequalities and Applications, 2017
The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.
Marcela V Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor   +3 more
doaj   +2 more sources

A Generalized Fejér–Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results

Mathematics, 2018
In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator.
Ghulam Farid, Shin Min Kang, Waqas Nazeer   +2 more
exaly   +3 more sources

Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications

Fractal and Fractional
In this paper, we aim to establish new inequalities of Hermite–Hadamard (H.H) type for harmonically convex functions using proportional Caputo-Hybrid (P.C.H) fractional operators.
Saad Ihsan BUTT, Dawood Khan, Muhammad Umar   +2 more
exaly   +3 more sources

On Symmetrized Stochastic Harmonically Convexity and Hermite–Hadamard Type Inequalities

Axioms, 2022
Throughout this study, the concept of symmetrized harmonically convex stochastic processes will be discussed in further detail. Some certain characterizations for symmetrized harmonically convex stochastic processes are discussed that use Hermite ...
Muhammad Amer Latif
doaj   +1 more source