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primary topic: A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L1 (a, b) and applications

A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L1 (a, b) and applications
type: AcademicArticle
type: Article
abstract: In this paper, we will improve and generalize inequality of Ostrowski type for mappings whose second derivatives belong to L1 (a, b). Some well known inequalities can be derived as special cases. In addition, perturbed mid-point inequality and perturbed trapezoid inequality are also obtained. The obtained inequalities have immediate applications in numerical integration where new estimates are obtained for the remainder term of the trapezoid and midpoint formula. Applications to some special means are also investigated. © 2015 Academic Publications, Ltd.
date: 2015
volume: 98
issue: 2
is part of: International Journal of Pure and Applied Mathematics
status: peerReviewed
status: published
author list: authors
type: EPrint
type: ArticleEPrint
is part of: repository

Academic Press
type: Organization

International Journal of Pure and Applied Mathematics
type: Collection
issn: 13118080

I. Faye
type: Person
given name: I.
family name: Faye

M. Shoaib
type: Person
given name: M.
family name: Shoaib

A. Qayyum
type: Person
given name: A.
family name: Qayyum

M.A. Latif
type: Person
given name: M.A.
family name: Latif

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primary topic: A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L1 (a, b) and applications