Results 81 to 90 of about 6,381 (249)

Jensen–Mercer and Hermite–Hadamard–Mercer Type Inequalities for GA-h-Convex Functions and Its Subclasses with Applications

Mathematics, 2023
Many researchers have been attracted to the study of convex analysis theory due to both facts, theoretical significance, and the applications in optimization, economics, and other fields, which has led to numerous improvements and extensions of the ...
Asfand Fahad, Ayesha, Yuanheng Wang, Saad Ihsaan Butt   +3 more
doaj   +1 more source

A theorem concerning Fourier transforms: A survey

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley   +1 more source

Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application

, 2007
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Cerone, P., Dragomir, S.S., Dragomir, Sever S, Cerone, Pietro, Kikianty, Eder   +4 more
core   +1 more source

Korovkin type theorems and approximate Hermite–Hadamard inequalities

Journal of Approximation Theory, 2012
Let \(X\) be a real linear space and let \(D \subset X\) be a convex subset. One can easily see that, for any constant \(\varepsilon \geq 0\), the \(\varepsilon\)-convexity of \(f\), i.e., the validity of \[ f(tx+(1-t)y)\leq t f(x) + (1-t) f(y) +\varepsilon \qquad (x,y\in D, \;t\in [0,1]), \] implies the following lower and upper \(\varepsilon ...
Judit Makó, Zsolt Páles
openaire   +2 more sources

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

Journal of Function Spaces, 2019
In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex ...
Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu, Zareen Abdulhameed Khan   +3 more
doaj   +1 more source

Hermite–Hadamard-Type Inequalities for h-Convex Functions Involving New Fractional Integral Operators with Exponential Kernel

Fractal and Fractional, 2022
In this paper, we use two new fractional integral operators with exponential kernel about the midpoint of the interval to construct some Hermite–Hadamard type fractional integral inequalities for h-convex functions.
Yaoqun Wu
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa, Safa M. Mirgani, Khaled Zennir, Keltoum Bouhali, Jagan Mohan Jonnalagadda   +4 more
wiley   +1 more source

Hermite–Hadamard-type inequalities for interval-valued preinvex functions via Riemann–Liouville fractional integrals

Journal of Inequalities and Applications, 2021
In this paper, we introduce (h1,h2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
N. Sharma, Sanjeeva Kumar Singh, S. K. Mishra, A. Hamdi   +3 more
semanticscholar   +1 more source

On Hermite-Hadamard type inequalities for multiplicative fractional integrals [PDF]

Miskolc Mathematical Notes, 2020
In this study, we first establish two Hermite-Hadamard type inequality for multiplicative (geometric) Riemann-Liouville fractional integrals. Then, by using some properties of multiplicative convex function, we give some new inequalities involving multiplicative fractional integrals.
Budak, H., Özcelik, K.
openaire   +3 more sources

Generalized refinement of Hermite-Hadamard inequality

Journal of Inequalities and Applications
The purpose of this study is to develop the further refinement of Hermite-Hadamard-type inequalities. Following that, we will highlight, as a specific case, the recently obtained second Hermite-Hadamard-type inequalities, which are an improvement over ...
Benaissa Bouharket, Noureddine Azzouz, Hüseyin Budak   +2 more
doaj   +1 more source