Results 11 to 20 of about 44,177 (224)

Uniform Treatment of Integral Majorization Inequalities with Applications to Hermite-Hadamard-Fejér-Type Inequalities and f-Divergences [PDF]

open access: yesEntropy, 2023
In this paper, we present a general framework that provides a comprehensive and uniform treatment of integral majorization inequalities for convex functions and finite signed measures.
László Horváth
doaj   +2 more sources

Hermite–Hadamard type inequalities for fractional integrals via Green’s function [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type ...
Muhammad Adil Khan   +3 more
doaj   +2 more sources

Integral inequalities for some convex functions via generalized fractional integrals [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
doaj   +2 more sources

Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals [PDF]

open access: yesJournal of Inequalities and Applications, 2017
Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established.
Praveen Agarwal   +2 more
doaj   +2 more sources

On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]

open access: yesHeliyon
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha   +5 more
doaj   +2 more sources

Some Properties and Inequalities for the h,s-Nonconvex Functions

open access: yesJournal of Mathematics, 2020
The purpose of this paper is to introduce the notion of strongly h,s-nonconvex functions and to present some basic properties of this class of functions. We present Schur inequality, Jensen inequality, Hermite–Hadamard inequality, and weighted version of
Chengli Wang   +3 more
doaj   +1 more source

A new generalization of some quantum integral inequalities for quantum differentiable convex functions

open access: yesAdvances in Difference Equations, 2021
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are generalizations of the comparable results in the
Yi-Xia Li   +4 more
doaj   +1 more source

Weighted Hermite-Hadamard inequalities for r-times differentiable preinvex functions for k-fractional integrals

open access: yesDemonstratio Mathematica, 2023
In this article, we have established some new bounds of Fejér-type Hermite-Hadamard inequality for kk-fractional integrals involving rr-times differentiable preinvex functions.
Zafar Fiza, Mehmood Sikander, Asiri Asim
doaj   +1 more source

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