eprintid: 6399
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/63/99
datestamp: 2023-11-09 16:18:10
lastmod: 2023-11-09 16:18:10
status_changed: 2023-11-09 16:05:56
type: article
metadata_visibility: show
creators_name: Qayyum, A.
creators_name: Faye, I.
creators_name: Shoaib, M.
creators_name: Latif, M.A.
title: A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L1 (a, b) and applications
ispublished: pub
note: cited By 5
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
publisher: Academic Press
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84921732947&doi=10.12732%2fijpam.v98i2.1&partnerID=40&md5=799dc8b5a2aa630bb8ad36ec39204249
id_number: 10.12732/ijpam.v98i2.1
full_text_status: none
publication: International Journal of Pure and Applied Mathematics
volume: 98
number: 2
pagerange: 169-180
refereed: TRUE
issn: 13118080
citation:   Qayyum, A. and Faye, I. and Shoaib, M. and Latif, M.A.  (2015) A generalization of Ostrowski type inequality for mappings whose second derivatives belong to L1 (a, b) and applications.  International Journal of Pure and Applied Mathematics, 98 (2).  pp. 169-180.  ISSN 13118080