Results 41 to 50 of about 1,029 (208)
THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE
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
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]
Some weighted Ostrowski type integral inequalities for operators and vector-valued functions in Banach spaces are given.
Cerone, Pietro +3 more
core
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
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]
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]
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
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
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]
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

