Results 131 to 140 of about 7,920 (230)

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

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 via n-polynomial exponential-type convexity and their applications

Advances in Differential Equations, 2020
In this paper, we give and study the concept of n-polynomial (s,m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{
S. Butt, A. Kashuri, M. Tariq, Jamshed Nasir, A. Aslam, Wei Gao   +5 more
semanticscholar   +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

On Hermite--Hadamard type inequalities via generalized fractional integrals

TURKISH JOURNAL OF MATHEMATICS, 2016
New Hermite-Hadamard type inequalities are obtained for convex functions via generalized fractional integrals. The results presented here are generalizations of those obtained in earlier works.
JLELI, Mohamed, O'REGAN, Donal, SAMET, Bessem   +2 more
openaire   +2 more sources

On some inequality of Hermite-Hadamard type

Opuscula Mathematica, 2012
It is well-known that the left term of the classical Hermite-Hadamard inequality is closer to the integral mean value than the right one. We show that in the multivariate case it is not true. Moreover, we introduce some related inequality comparing the methods of the approximate integration, which is optimal.
Szymon Wąsowicz, Alfred Witkowski
openaire   +3 more sources

Refinements of some fractional integral inequalities involving extended convex functions and fractional Caputo derivatives

Journal of Inequalities and Applications
This article examines famous fractional Hermite–Hadamard integral inequalities through the applications of fractional Caputo derivatives and extended convex functions. We develop modifications involving two known classical fractional extended versions of
Muhammad Imran, Shahid Mubeen, Aziz Khan, Thabet Abdeljawad   +3 more
doaj   +1 more source

Hermite-Hadamard type inequality for φh-convex stochastic processes

AIP Conference Proceedings, 2016
The main aim of the present paper is to introduce φh-convex stochastic processes and we investigate main properties of these mappings. Moreover, we prove the Hadamard-type inequalities for φh-convex stochastic processes. We also give some new general inequalities for φh-convex stochastic processes.
Sarikaya, Mehmet Zeki, Kiris, Mehmet Eyup, Celik, Nuri   +2 more
openaire   +3 more sources

On q-Hermite-Hadamard Inequalities for Differentiable Convex Functions

Mathematics, 2019
In this paper, we establish some new results on the left-hand side of the q-Hermite−Hadamard inequality for differentiable convex functions with a critical point. Our work extends the results of Alp et.
Seksan Jhanthanam, Jessada Tariboon, Sotiris K. Ntouyas, Kamsing Nonlaopon   +3 more
doaj   +1 more source

New Developments of Hermite–Hadamard Type Inequalities via s-Convexity and Fractional Integrals

Journal of mathematics
In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are s-convex functions.
K. Khan, Saeeda Fatima, A. Nosheen, Rostin Matendo Mabela   +3 more
semanticscholar   +1 more source