Results 41 to 50 of about 1,029 (208)

THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE

open access: yesTamkang Journal of Mathematics, 1999
We prove the constant $\frac{1}{2}$ in Dragomir-Wang's inequality [2] is best.
Peachey, Tom   +2 more
openaire   +3 more sources

Fundamentals of Right Hahn q‐Symmetric Calculus and Related Inequalities

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
Hahn symmetric quantum calculus is a generalization of symmetric quantum calculus. Motivated by the Hahn symmetric quantum calculus, we present the right Hahn symmetric derivative and integral, which are novel definitions for derivative and definite integral in Hahn symmetric quantum calculus.
Muhammad Nasim Aftab   +3 more
wiley   +1 more source

On Weighted Ostrowski Type Inequalities for Operators and Vector-Valued Functions [PDF]

open access: yes, 2001
Some weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given.
Cerone, Pietro   +3 more
core  

Generalized Riemann-Liouville $k$ -Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities

open access: yesIEEE Access, 2018
Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis.
Young Chel Kwun   +4 more
doaj   +1 more source

Graphical and Analytic Study of New Inequalities Involving Strongly n‐Polynomial Exponential‐Type s‐Convex Functions

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper explores a new class of convexity, namely, strongly n‐polynomial exponential‐type s‐convexity. We developed some basic results related to this convexity including few algebraic properties. Three examples have been provided for the verification of newly introduced convexity.
Khuram Ali Khan   +4 more
wiley   +1 more source

Ostrowski Type Inequality for Absolutely Continuous Functions on Segments in Linear Spaces [PDF]

open access: yes, 2007
An Ostrowski type inequality is developed for estimating the deviation of the integral mean of an absolutely continuous function, and the linear combination of its values at k + 1 partition points, on a segment of (real) linear spaces.
Dragomir, Sever S   +2 more
core  

Three Point Identities and Inequalities for n-time Differential Functions [PDF]

open access: yes, 1999
Identities and inequalities are obtained involving n-time differentiable functions in terms of evaluations at an interior and at the end points. It is shown how previous work is recaptured as particular instances of the current development.
Cerone, Pietro   +2 more
core   +2 more sources

Some Perturbed Ostrowski Type Inequalities for Functions Whose First Derivatives Are of Bounded Variation

open access: yesInternational Journal of Analysis and Applications, 2016
The main aim of this paper is to establish some new perturbed Ostrowski type integral inequalities for functions whose first derivatives are of bounded variation. Some perturbed Ostrowski type inequalities for Lipschitzian and monotonic mappings are also
Hüseyin Budak, Mehmet Zeki Sarikaya
doaj   +2 more sources

Some New Beesack–Wirtinger-Type Inequalities Pertaining to Different Kinds of Convex Functions

open access: yesMathematics, 2022
In this paper, the authors established several new inequalities of the Beesack–Wirtinger type for different kinds of differentiable convex functions. Furthermore, we generalized our results for functions that are n-times differentiable convex.
Artion Kashuri   +3 more
doaj   +1 more source

An Ostrowski type inequality for convex functions [PDF]

open access: yesPublikacije Elektrotehni?kog fakulteta - serija: matematika, 2005
An Ostrowski type integral inequality for convex functions and applications for quadrature rules and integral means are given. A refinement and a counterpart result for Hermite-Hadamard inequalities are obtained and some inequalities for pdf's and (HH)-divergence measure are also mentioned.
openaire   +2 more sources

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