Results 1 to 10 of about 192 (157)

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.
N. Safaei, A. Barani
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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   +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
Humaira Kalsoom, Miguel Vivas-Cortez, Muhammad Amer Latif, Hijaz Ahmad   +3 more
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On Generalization of Different Integral Inequalities for Harmonically Convex Functions [PDF]

Symmetry, 2022
In this study, we first prove a parameterized integral identity involving differentiable functions. Then, for differentiable harmonically convex functions, we use this result to establish some new inequalities of a midpoint type, trapezoidal type, and Simpson type.
Muhammad Aamir Ali, Miguel Vivas-Cortez, Thanin Sitthiwirattham   +2 more
exaly   +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.
Shin Min Kang, Ghulam Abbas, Ghulam Farid, Waqas Nazeer   +3 more
doaj   +3 more sources

New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

Journal of Inequalities and Applications, 2020
The aim of this paper is to establish new generalized fractional versions of the Hadamard and the Fejér–Hadamard integral inequalities for harmonically convex functions.
Xiaoli Qiang, Ghulam Farid, Muhammad Yussouf, Khuram Ali Khan, Atiq Ur Rahman   +4 more
doaj   +3 more sources

Some Properties of Uniformly Harmonically Convex and Uniformly Harmonically Quasi-Convex Functions [PDF]

Mathematics Interdisciplinary Research
‎In this note‎, ‎we investigate the concepts of uniformly harmonically convexity and uniformly harmonically quasi-convexity‎, ‎and establish some remarkable properties and basic examples related to these concepts‎.‎In addition‎, ‎we will present methods ...
Mehdi Dehghanian, Yamin Sayyari, Arash Ziaee   +2 more
doaj   +2 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, Muhammad Umar, Dawood Khan, Youngsoo Seol, Sanja Tipurić-Spužević   +4 more
doaj   +3 more sources

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

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   +1 more source

First order derivatives new h.hadamard type ınequalities for harmonically h convex functions

Cumhuriyet Science Journal, 2020
In this study, we derived a new integral identity for differentiable functions. However, we get new inequalities which is well known as Hermite-Hadamard (H-H) type by using the integral identity, which unifies the class of new and known harmonically ...
Merve Kule, Mehmet Eyüp Kiriş
doaj   +1 more source