Approximation of the Riemann-Stieltjes Integral with (l,L)-Lipschitzian Integrators

Dragomir, Sever S (2007) Approximation of the Riemann-Stieltjes Integral with (l,L)-Lipschitzian Integrators. Research report collection, 10 (3).

Abstract

Sharp error estimates in approximating the Riemann-Stieltjes integral with (l,L)-Lipschitzian integrators and applications for the Čebyšev functional are given. Some inequalities that complement the classical results due to Čebyšev, Grüss, Ostrowski and Lupaş are also provided.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17543
Subjects Current > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Riemann-Stieltjes integral, (l,L)-Lipschitzian functions, integral inequalities, Čebyšev, Grüss, Ostrowski and Lupaş type inequalities
Citations in Scopus 5 - View on Scopus
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