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

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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.

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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
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