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

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

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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.

Item Type: Article
Uncontrolled Keywords: ResPubID14215, functional analysis, approximation theory, integration, Riemann-Stieltjes integral, (7,Z)-Lipschitzian functions, Integral inequalities, Cebysev, Grass, Ostrowski and Lupas type inequalities
Subjects: Faculty/School/Research Centre/Department > School of Engineering and Science
FOR Classification > 0103 Numerical and Computational Mathematics
SEO Classification > 9399 Other Education and Training
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Depositing User: VUIR
Date Deposited: 23 Jan 2012 23:25
Last Modified: 23 Jan 2012 23:25
URI: http://vuir.vu.edu.au/id/eprint/5151
DOI: 10.1063/1.2790242
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Citations in Scopus: 1 - View on Scopus

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