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

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Kikianty, Eder, Dragomir, Sever S and Cerone, Pietro (2007) Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Applications. Research report collection, 10 (2).

Abstract

An Ostrowski type inequality for general 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 prove the sharpness of the constants in those inequalities.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17541
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski type inequality, Hermite-Hadamard type inequality, semi-inner product, convex function
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