Accurate Approximations of the Riemann-Stieltjes Integral with (1,L) - Lipschitzian Integrators

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Dragomir, Sever S (2007) Accurate Approximations of the Riemann-Stieltjes Integral with (1,L) - Lipschitzian Integrators. Amercican Institute of Physics Conference Proceedings, 936. pp. 686-690. ISSN 0094-243X

Abstract

Grass-type inequalities for the Riemann-Stieltjes integral with (/,Z)-Lipschitzian integrators and applications for the Cebysev functional are given. Sharp inequalities complementing results of Cebysev, Grass, Ostrowski and Lupas are given.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/5151
DOI https://doi.org/10.1063/1.2790242
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Historical > SEO Classification > 9399 Other Education and Training
Keywords ResPubID14215, functional analysis, approximation theory, integration, Riemann-Stieltjes integral, (7,Z)-Lipschitzian functions, Integral inequalities, Cebysev, Grass, Ostrowski and Lupas type inequalities
Citations in Scopus 5 - View on Scopus
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