Results 31 to 40 of about 3,097 (177)

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

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

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

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

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

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

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

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

Journal of Function Spaces, 2018
We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan, Yu-Ming Chu, Artion Kashuri, Rozana Liko, Gohar Ali   +4 more
doaj   +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