On new general integral inequalities for h-convex function

Year 2016, Volume: 4 Issue: 3, 73 - 87, 30.09.2016

İmdat Iscan , Mustafa Aydin

Abstract

In this paper, we derive new estimates for the remainder term
of the midpoint, trapezoid, and Simpson formulae for functions whose
derivatives in absolute value at certain power are -convex and -concave by using power mean
inequality, Hölder inequality and some other integral inequalities. Some
applications to special means of real numbers are also given.

Keywords

h-convex function , h-concave function , Simpson’s inequality

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