A Weighted Version of Ostrowski Inequality for Mappings of Holder Type and Applications in Numerical Analysis

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Dragomir, Sever S, Cerone, Pietro, Roumeliotis, John and Wang, Song (1999) A Weighted Version of Ostrowski Inequality for Mappings of Holder Type and Applications in Numerical Analysis. RGMIA research report collection, 2 (1).

Abstract

In this paper we establish a weighted version of Ostrowski's inequality for mappings of Holder type and apply it to numerical intergration. Some examples for the most popular weights: Legendre, Logarithm, Jacobi, Chebyshev, Laguerre and Hermite are also given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17138
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Ostrowski's inequality, Holder type mappings, numerical quadrature
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