Results 31 to 40 of about 1,866 (138)

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

open access: yesJournal 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   +2 more
wiley   +1 more source

A Triple Inequality with Series and Improper Integrals [PDF]

open access: yes, 2006
As a consequence of the Integral Test we find a triple inequality which bounds up and down both a series with respect to its corresponding improper integral, and reciprocally an improper integral with respect to its corresponding series.Comment: 4 ...
Smarandache, Florentin
core   +1 more source

On an inequality suggested by Littlewood

open access: yesJournal 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  

Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

open access: yesOpen Mathematics, 2022
In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J.   +4 more
doaj   +1 more source

Some New Variants of Hermite–Hadamard and Fejér‐Type Inequalities for Godunova–Levin Preinvex Class of Interval‐Valued Functions

open access: yesJournal of Mathematics, Volume 2024, Issue 1, 2024.
The theory of inequalities is greatly influenced by interval‐valued concepts, and this contribution is explored from several perspectives and domains. The aim of this note is to develop several mathematical inequalities such as Hermite–Hadamard, Fejér, and the product version based on center radius CR‐order relations.
Zareen A. Khan   +4 more
wiley   +1 more source

A Generalisation of an Ostrowski Inequality in Inner Product Spaces [PDF]

open access: yes, 2003
A generalisation of inner product spaces of an inequality due to Ostrowski and applications for sequences and integrals are ...
Dragomir, Sever S., Gosa, Anca C.
core   +2 more sources

On Minkowski's inequality and its application

open access: yesJournal of Inequalities and Applications, 2011
In the paper, we first give an improvement of Minkowski integral inequality. As an application, we get new Brunn-Minkowski-type inequalities for dual mixed volumes.
Cheung Wing-Sum, Zhao Chang-Jian
doaj  

Some estimations on continuous random variables for (k, s) −fractional integral operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.
Houas Mohamed
doaj   +1 more source

An application of Hayashi's inequality in numerical integration

open access: yesOpen Mathematics, 2023
This study systematically develops error estimates tailored to a specific set of general quadrature rules that exclusively incorporate first derivatives.
Heilat Ahmed Salem   +4 more
doaj   +1 more source

A Refinement of Jensen’s and Minkowski’s Inequalities via Superquadratic Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
We provide in this note a different refinement of Jensen’s inequality obtained via superquadratic functions. A refinement of Minkowski’s and Hölder’s inequalities is also established as an application of our refined Jensen’s inequality.
Anton Asare-Tuah   +2 more
wiley   +1 more source

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