Results 31 to 40 of about 4,682 (150)

Riemann-Liouville Fractional Inclusions for Convex Functions Using Interval Valued Setting

Mathematics, 2022
In this work, various fractional convex inequalities of the Hermite–Hadamard type in the interval analysis setting have been established, and new inequalities have been derived thereon.
Vuk Stojiljković, Rajagopalan Ramaswamy, Ola A. Ashour Abdelnaby, Stojan Radenović   +3 more
doaj   +1 more source

Hermite-Hadamard type inequalities for Wright-convex functions of several variables

, 2014
We present Hermite--Hadamard type inequalities for Wright-convex, strongly convex and strongly Wright-convex functions of several variables defined on ...
Wasowicz, Sz., Śliwińska, D.
core   +2 more sources

The New Versions of Hermite–Hadamard Inequalities for Pre-invex Fuzzy-Interval-Valued Mappings via Fuzzy Riemann Integrals

International Journal of Computational Intelligence Systems, 2022
In this study, we use the fuzzy order relation to show some novel variants of Hermite–Hadamard inequalities for pre-invex fuzzy-interval-valued mappings (F-I∙V-Ms), which we term fuzzy-interval Hermite–Hadamard inequalities and fuzzy-interval Hermite ...
Muhammad Bilal Khan, Muhammad Aslam Noor, Hatim Ghazi Zaini, Gustavo Santos-García, Mohamed S. Soliman   +4 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

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

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

Better Approximation of Milne‐Type Inequalities via Convex Functions and ABK Fractional Integral Operators

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne‐type inequalities are derived for functions whose second derivatives inside the absolute value are convex. Furthermore, the table has also been
Muhammad Bilal Ahmed, Khuram Ali Khan, Ammara Nosheen, Ndolane Sene, Gopi Prasad   +4 more
wiley   +1 more source

Better Approximation of Integral Form of Midpoint Formula Using p‐Convex Function via Katugampola Fractional Integrals

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, new estimations of the integral form of the midpoint formula are derived for p‐convex functions via Katugampola fractional integrals. A specific identity for differentiable functions is established, which extends and strengthens the integral midpoint inequality through innovative estimations.
Muhammad Latif, Saima Riaz, Khuram Ali Khan, Ammara Nosheen, Michael Kikomba Kahungu, Richard I. Avery   +5 more
wiley   +1 more source

On n-polynomial p-convex functions and some related inequalities

Advances in Difference Equations, 2020
In this paper, we introduce a new class of convex functions, so-called n-polynomial p-convex functions. We discuss some algebraic properties and present Hermite–Hadamard type inequalities for this generalization.
Choonkil Park, Yu-Ming Chu, Muhammad Shoaib Saleem, Nazia Jahangir, Nasir Rehman   +4 more
doaj   +1 more source

Some New Results on Hermite–Hadamard–Mercer-Type Inequalities Using a General Family of Fractional Integral Operators

Fractal and Fractional, 2021
The aim of this article is to obtain new Hermite–Hadamard–Mercer-type inequalities using Raina’s fractional integral operators. We present some distinct and novel fractional Hermite–Hadamard–Mercer-type inequalities for the functions whose absolute value
Erhan Set, Barış Çelik, M. Emin Özdemir, Mücahit Aslan   +3 more
doaj   +1 more source