NEW REFINEMENTS AND APPLICATIONS OF OSTROWSKI TYPE INEQUALITIES FOR MAPPINGS WHOSE nth DERIVATIVES ARE OF BOUNDED VARIATION

NEW REFINEMENTS AND APPLICATIONS OF OSTROWSKI TYPE INEQUALITIES FOR MAPPINGS WHOSE n^th DERIVATIVES ARE OF BOUNDED VARIATION

H. Budak, M. Z. Sarıkaya, A. Qayyum

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Abstract

The main aim of this paper is to establish some Ostrowski type integral inequalities using a newly developed special type of kernel for mappings whose nth derivatives are of bounded variation. We deduce some previous results as a special case. Some new ecient quadrature rules are also introduced.

Keywords

Function of bounded variation, Ostrowski type inequalities, Riemann-Stieltjes integral.