Results 111 to 120 of about 10,446 (248)

Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam, Omid Pourbahri Rahpeyma, Davood Ebrahimi Bagha, Pramita Mishra   +3 more
wiley   +1 more source

The converse of the Hermite–Hadamard inequality on simplices

Expositiones Mathematicae, 2012
AbstractWe prove that the Hermite–Hadamard inequality on simplices characterizes convex functions under some assumptions on the measure.
Flavia-Corina Mitroi, Eleutherius Symeonidis   +1 more
openaire   +2 more sources

Abstract Convexity and Hermite-Hadamard Type Inequalities [PDF]

Journal of Inequalities and Applications, 2009
The deriving Hermite-Hadamard type inequalities for certain classes of abstract convex functions are considered totally, the inequalities derived for some of these classes before are summarized, new inequalities for others are obtained, and for one class of these functions the results on are generalized to . By considering a concrete area in , the
Gabil Adilov, Serap Kemali
openaire   +4 more sources

Hermite-Hadamard-Fejér Type Inequalities for Preinvex Functions Using Fractional Integrals

Mathematics, 2019
In this paper, we have established the Hermite−Hadamard−Fejér inequality for fractional integrals involving preinvex functions. The results presented here provide new extensions of those given in earlier works as the weighted estimates ...
Sikander Mehmood, Fiza Zafar, Nusrat Yasmin   +2 more
doaj   +1 more source

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo, Wengui Yang, Mohammad W. Alomari   +2 more
wiley   +1 more source

Polynomial‐exponential equations — Some new cases of solvability

Proceedings of the London Mathematical Society, Volume 129, Issue 4, October 2024.
Abstract Recently, Brownawell and the second author proved a ‘non‐degenerate’ case of the (unproved) ‘Zilber Nullstellensatz’ in connexion with ‘Strong Exponential Closure’. Here, we treat some significant new cases. In particular, these settle completely the problem of solving polynomial‐exponential equations in two complex variables.
Vincenzo Mantova, David Masser
wiley   +1 more source

The Jensen and Hermite-Hadamard inequalities [PDF]

, 2022
The aim of this presentation is to show the Jensen and Hermite-Hadamard inequalities for convex functions of several variables as general as possible. In this regard, we rely on the decomposition of a nonempty convex set C in the n-dimensional real space.
openaire   +1 more source

On Certain Integral Inequalities Related to Hermite–Hadamard Inequalities

Journal of Mathematical Analysis and Applications, 1999
The authors establish some new Hermite-Hadamard inequalities for real convex functions on \([a,b]\), generalizing known results of this type.
Kuei-Lin Tseng, Kuei-Lin Tseng, Gou-Sheng Yang   +2 more
openaire   +3 more sources

On the mean‐square solution to the Legendre differential equation with random input data

Mathematical Methods in the Applied Sciences, Volume 47, Issue 6, Page 5341-5347, April 2024.
In this short note, we investigate a linear stochastic differential equation from mathematical physics, driven by parametric uncertainty. Given the Legendre differential equation with random inputs, the goal is to give a proof of a conjecture posed in a recent paper, concerning the power‐series solution in a Lebesgue sense.
Marc Jornet
wiley   +1 more source

Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals

International Journal of Analysis and Applications, 2018
The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, Ilker Mumcu
doaj   +2 more sources