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Budak, Hüseyin; Sarikaya, Mehmet Zeki

Some companions of Ostrowski type inequalities for twice differentiable functions. (English) Zbl 1387.26036

Note Mat. 37, No. 2, 103-116 (2017).
Summary: The main aim of this paper is to establish some companions of Ostrowski type integral inequalities for functions whose second derivatives are bounded. Moreover, some Ostrowski type inequalities are given for mappings whose first derivatives are of bounded variation. Some applications for special means and quadrature formulae are also given.

Cited in 1 Document

MSC:

26D15 Inequalities for sums, series and integrals
26A45 Functions of bounded variation, generalizations
41A55 Approximate quadratures

Keywords:

function of bounded variation; Ostrowski-type inequalities; Riemann-Stieltjes integral
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References:

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