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On new general integral inequalities for h-convex functions

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 3)

Publication Date:

Authors : ; ;

Page : 73-87

Keywords : h-convex function h-concave function Simpson's inequality Hermite-Hadamard's inequality;

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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 h-convex and h-concave by using power mean inequality, Hölder inequality and some other integral inequalities. Some applications to special means of real numbers are also given.

Last modified: 2017-01-26 01:24:50