Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 30, pp. 43-52 (2014)

Inequalities of Pompeiu's type for absolutely continuous functions with applications to Ostrowski's inequality

S. S. Dragomir

Victoria University and University of the Witwatersrand

Abstract: In this paper, some new Pompeiu's type inequalities for complex-valued absolutely continuous functions are provided. They are applied to obtain some new Ostrowski type inequalities.

Keywords: Ostrowski inequality, Pompeiu's mean inequality, Integral inequalities

Classification (MSC2000): 25D10

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