Results 81 to 90 of about 4,396 (195)

Generalization of q‐Integral Inequalities for (α, ℏ − m)‐Convex Functions and Their Refinements

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
This article finds q‐ and h‐integral inequalities in implicit form for generalized convex functions. We apply the definition of q − h‐integrals to establish some new unified inequalities for a class of (α, ℏ − m)‐convex functions. Refinements of these inequalities are given by applying a class of strongly (α, ℏ − m)‐convex functions. Several q‐integral
Ria H. Egami   +5 more
wiley   +1 more source

NEW WEIGHTED OSTROWSKI AND OSTROWSKI-GRÜSS TYPE INEQUALITIES ON TIME SCALES

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.
Liu, Wenjun, Tuna, Adnan, Jiang, Yong
openaire   +3 more sources

Some Ostrowski Type Inequalites via Cauchy's Mean Value Theorem

open access: yes, 2003
Some Ostrowski type inequalities via Cauchy's mean value theorem and applications for certain particular instances of functions are ...
Dragomir, Sever Silvestru
core   +1 more source

Ostrowski type inequalities for convex functions

open access: yesTamkang Journal of Mathematics, 2014
In this paper, we obtain Ostrowski type inequalities for convex functions.
Özdemir, M. Emin   +2 more
openaire   +3 more sources

An Inequality of Ostrowski Type via Pompeiu's Mean Value Theorem

open access: yes, 2003
An inequality providing some bounds for the integral mean via Pompeiu's mean value theorem and applications for quadrature rules and special means are ...
Dragomir, Sever Silvestru
core   +1 more source

Some New Ostrowski Type Inequalities via Fractional Integrals

open access: yesInternational Journal of Analysis and Applications, 2017
We have found a new version of well known Ostrowski inequality in a very simple and antique way via Riemann-Liouville fractional integrals. Also some related results have been derived.
Ghulam Farid
doaj   +2 more sources

Revisiting Ostrowski's Inequality

open access: yes
The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If $f:[a,b]\to\mathbb{R}$ is differentiable and $f'\in L^{\infty}[a, b]$, then for any $p\in\,]a,b[\,$, the following functional
openaire   +2 more sources

Perturbations of an Ostrowski type inequality and applications

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid-point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds.
Nenad Ujević
doaj   +1 more source

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