Results 1 to 10 of about 11,287,559 (375)

Hermite-Hadamard type inequalities for F-convex function involving fractional integrals. [PDF]

J Inequal Appl, 2018
In this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite–Hadamard type for differentiable function.
Mohammed PO, Mohammed PO, Sarikaya MZ.
europepmc   +2 more sources

Association of Jensen’s inequality for s-convex function with Csiszár divergence

Journal of Inequalities and Applications, 2019
In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan, Muhammad Hanif, Zareen Abdul Hameed Khan, Khurshid Ahmad, Yu-Ming Chu   +4 more
doaj   +2 more sources

A study of Hermite-Hadamard inequalities via Caputo-Fabrizio fractional integral operators using strongly ( s , m ) $(s, m)$ -convex functions in the second sense

Journal of Inequalities and Applications
New ways for comparing and bounding strongly ( s , m ) $(s,m)$ -convex functions using Caputo fractional derivatives and Caputo-Fabrizio integral operators are explored.
Jie Li, Yong Lin, Serap Özcan, Muhammad Shoaib Saleem, Ahsan Fareed Shah   +4 more
doaj   +2 more sources

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function [PDF]

Journal of Inequalities and Applications, 2019
In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special
Saima Rashid, Farhat Safdar, Ahmet Ocak Akdemir, Muhammad Aslam Noor, Khalida Inayat Noor   +4 more
doaj   +2 more sources

A Novel Gradient Vector Flow Snake Model Based on Convex Function for Infrared Image Segmentation. [PDF]

Sensors (Basel), 2016
Zhang R, Zhu S, Zhou Q.
europepmc   +3 more sources

Some Local Fractional Inequalities Involving Fractal Sets via Generalized Exponential (s,m)-Convexity

Axioms, 2023
Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj   +1 more source

Generalized fractal Jensen and Jensen–Mercer inequalities for harmonic convex function with applications

Journal of Inequalities and Applications, 2022
In this paper, we present a generalized Jensen-type inequality for generalized harmonically convex function on the fractal sets, and a generalized Jensen–Mercer inequality involving local fractional integrals is obtained.
S. Butt, P. Agarwal, Saba Yousaf, J. L. Guirao   +3 more
semanticscholar   +1 more source

Some Refinements of Hermite–Hadamard Type Integral Inequalities Involving Refined Convex Function of the Raina Type

Axioms, 2023
The aim of this work is to elaborate and define the idea of refined convex function of the Raina type. In addition, we have attained some associated properties in the manner of the newly introduced idea.
Muhammad Tariq, Soubhagya Kumar Sahoo, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

The Properties of Harmonically cr-h-Convex Function and Its Applications

Mathematics, 2022
In this paper, the definition of the harmonically cr-h-convex function is given, and its important properties are discussed. Jensen type inequality, Hermite–Hadamard type inequalities and Fejér type inequalities for harmonically cr-h-convex functions are
Wei Liu, Fangfang Shi, G. Ye, Dafang Zhao   +3 more
semanticscholar   +1 more source

New Ostrowski type inequalities for generalized s-convex functions with applications to some special means of real numbers and to midpoint formula

AIMS Mathematics, 2022
In this paper we establish new Ostrowski type inequalities related to the notion s-$ \varphi $-convex functions (see [37]), were $ f\in C^n([a, b]) $ with $ f^{(n)}\in L([a, b]) $ and we give some applications to some special means, the midpoint formula ...
Praveen Agarwal, Miguel Vivas-Cortez, Yenny Rangel-Oliveros , Muhammad Aamir Ali   +3 more
doaj   +1 more source