Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application

Full text for this resource is not available from the Research Repository.

Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2008) Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application. Computers and Mathematics with Applications, 56 (9). pp. 2235-2246. ISSN 0898-1221

Abstract

An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result. The results in normed linear spaces are used to obtain some inequalities which are related to the given norm and associated semi-inner products, and to prove the sharpness of the constants in those inequalities.

Dimensions Badge

Altmetric Badge

Item type Article
URI https://vuir.vu.edu.au/id/eprint/3760
DOI 10.1016/j.camwa.2008.03.059
Official URL http://www.sciencedirect.com/science/article/pii/S...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID15150, Ostrowski type inequality, Hermite–Hadamard type inequality, semi-inner product, convex function
Citations in Scopus 5 - View on Scopus
Download/View statistics View download statistics for this item

Search Google Scholar

Repository staff login