New Refinements and Applications of Ostrowski Type Inequalities for Mappings Whose nth Derivatives are of Bounded Variation

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BUDAK H., Sarikaya M., Qayyum A.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.11, no.2, pp.424-435, 2021 (ESCI, Scopus)

• Publication Type: Article / Article
• Volume: 11 Issue: 2
• Publication Date: 2021
• Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.424-435
• Keywords: Function of bounded variation, Ostrowski type inequalities, Riemann-Stieltjes integral
• Kocaeli University Affiliated: No

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 efficient quadrature rules are also introduced.