On new general integral inequalities for h-convex function

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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