Results 1 to 10 of about 2,333 (219)

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

open access: yesThe 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

open access: yesFractal 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   +3 more
doaj   +3 more sources

Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings

open access: yesMathematics, 2021
In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You   +4 more
doaj   +3 more sources

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

open access: yesJournal 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
doaj   +2 more sources

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

open access: yesJournal 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   +4 more
doaj   +1 more source

Certain convex harmonic functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim   +2 more
openaire   +2 more sources

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

open access: yesCumhuriyet 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

Generalized Fractional Hadamard and Fejér–Hadamard Inequalities for Generalized Harmonically Convex Functions

open access: yesJournal of Mathematics, 2020
In this paper, we define a new function, namely, harmonically α,h−m-convex function, which unifies various kinds of harmonically convex functions.
Chahn Yong Jung   +4 more
doaj   +1 more source

Convexity In Multivalued Harmonic Functions

open access: yesReal Analysis Exchange, 2022
We investigate variants of a Three Circles type Theorem in the context of \mathcal{Q}-valued functions. We prove some convexity inequalities related to the L^{2} growth function in the \mathcal{Q}-valued settings. Optimality of these inequalities and comparsion to the case of real valued harmonic functions is also discussed.
openaire   +3 more sources

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