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 nth 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.