Results 41 to 50 of about 2,803 (176)

Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]

, 2000
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
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On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we develop novel Simpson‐type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville fractional integrals.
Areej A. Almoneef, Abd-Allah Hyder, Fatih Hezenci, Hüseyin Budak, Pramita Mishra   +4 more
wiley   +1 more source

Necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and its application in operator theory

, 2018
By using real analysis technique and the method of weight functions, the necessary and sufficient conditions for the validity of Hilbert type integral inequalities with a class of quasi-homogeneous kernels and the best constant factors are obtained, and ...
Yong Hong, B. He, Bicheng Yang
semanticscholar   +1 more source

Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

Open Mathematics, 2021
In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira, Budak Hüseyin, Kara Hasan, Ali Muhammad Aamir   +3 more
doaj   +1 more source

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

Ostrowski type fractional integral inequalities for MT-convex functions

, 2015
Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
semanticscholar   +1 more source

Some Hermite-Jensen-Mercer like inequalities for convex functions through a certain generalized fractional integrals and related results

Miskolc Mathematical Notes, 2020
In this article, in light of Jensen-Mercer inequality for functions whose derivatives in the absolute values are convex, some new Hermite-Jensen-Mercer inequalities have been obtained with the help of generalized types of fractional integral operators ...
S. Butt, A. Akdemi̇r, Jamshed Nasir, F. Jarad   +3 more
semanticscholar   +1 more source

On an inequality suggested by Littlewood

Journal of Inequalities and Applications, 2011
We study an inequality suggested by Littlewood, our result refines a result of Bennett. 2000 Mathematics Subject Classification. Primary 26D15.
Gao Peng
doaj  

On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

Open Mathematics, 2022
In this work, by the introduction of a new kernel function composed of exponent functions with several parameters, and using the method of weight coefficient, Hermite-Hadamard’s inequality, and some other techniques of real analysis, a more accurate half-
You Minghui, Sun Xia, Fan Xiansheng
doaj   +1 more source

A Note on Bessel’s Inequality [PDF]

, 2001
A monotonicity property of Bessel’s inequality in inner product spaces is ...
Dragomir, Sever S
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