GENERALIZED POWER POMPEIU TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS WITH APPLICATIONS TO OSTROWSKI'S INEQUALITY

S. Erden, M. Z. Sarıkaya, S. S. Dragomir

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Abstract

We establish some generalizations of power Pompeiu's inequality for local fractional integral. Afterwards, these results gave some new generalized Ostrowski type inequalities. Finally, some applications of these inequalities for generalized special means are obtained.

Keywords

Ostrowski's inequality, Pompeiu's mean value theorem, Local fractional integral, Fractal space, Special Means.