Results 81 to 90 of about 3,593 (185)

High order Ostrowski type inequalities

open access: yesApplied Mathematics Letters, 2007
By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
openaire   +1 more source

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

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

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

A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications

open access: yesInternational Journal of Analysis and Applications, 2018
The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
doaj   +2 more sources

RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory

open access: yesJournal of Inequalities and Applications, 2019
In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel   +3 more
doaj   +1 more source

Generalization and improvement of Ostrowski type inequalities

open access: yesAIP Conference Proceedings, 2018
The goal of this study to obtain the new generalization of Ostrowski inequality for bounded functions by using new generalized Montgomery identity which is proved. The results presented here would provide extensions of those given in earlier works.
Sarıkaya, Mehmet Zeki   +1 more
openaire   +2 more sources

A Perturbed Ostrowski-Type Inequality on Time Scales for k Points for Functions Whose Second Derivatives Are Bounded

open access: yesJournal of Inequalities and Applications, 2008
We first derive a perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded and then unify corresponding continuous and discrete versions.
Wenbing Chen   +2 more
doaj   +1 more source

Norm Estimates for the Difference Between Bochner's Integral and the Convex Combination of Function's Values

open access: yes, 2003
Norm estimates are developed between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function values taken on a division of the interval [a,b]
Cerone, P.   +4 more
core   +1 more source

Home - About - Disclaimer - Privacy