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Özdemir, M. Emin; Avci Ardic, Merve

Some companions of Ostrowski type inequality for functions whose second derivatives are convex and concave with applications. (English) Zbl 1308.26024

Arab J. Math. Sci. 21, No. 1, 53-66 (2015).
Summary: In this paper, we obtain some companions of Ostrowski type inequality for absolutely continuous functions whose second derivatives absolute values are convex and concave. Finally, we give some applications for special means.

Cited in 4 Documents

MSC:

26D10 Inequalities involving derivatives and differential and integral operators
26D15 Inequalities for sums, series and integrals

Keywords:

convex function; Ostrowski inequality; Jensen integral inequality; Hölder inequality; power-mean integral inequality
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References:

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