Accurate approximations for the Rieman-Stieltjes integral via theory of inequalities

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Dragomir, Sever S (2009) Accurate approximations for the Rieman-Stieltjes integral via theory of inequalities. Journal of Mathematical Inequalities, 3 (4). pp. 663-681. ISSN 1846-579X

Abstract

Accurate approximations for the Riemann-Stieltjes integral by the use of various recent inequalities for the generalised Cebysev functional introduced in 1998 by Dragomir & Fedotov are surveyed. Applications in deriving sharp inequalities of Gruuss’ type are also given.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/4264
Official URL http://jmi.ele-math.com/volume/3/issue/4
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Keywords ResPubID17491. Rieman-Stieltjes integral, integral inequalities, (l,L) -Lipschitzian functions, equalities, Ostrowski type inequalities, Cebysev type inequalities, Lupas type inequalities, Gruss type inequalities
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