Abstract
In this paper, we establish some new Simpson type inequalities for the class of functions whose derivatives in absolute values at certain powers are p-convex and p-concav
Highlights
A function f : I R ! R is said to be convex if the inequality f (tx + (1 t)y) tf (x) + (1 t)f (y) is valid for all x; y 2 I and t 2 [0; 1]
It is well known that theory of convex sets and convex functions play an important role in mathematics and the other pure and applied sciences
Many papers have been written by a number of mathematicians concerning inequalities for di¤erent classes of harmonically convex and p-convex functions see for instance the recent papers [3, 7, 8, 9, 10, 11, 12, 17, 18, 19, 21, 22, 24] and the references within these papers
Summary
A function f : I R ! R is said to be convex if the inequality f (tx + (1 t)y) tf (x) + (1 t)f (y) is valid for all x; y 2 I and t 2 [0; 1]. F is said to be concave on interval I 6= ;. In [9], the author gave de...nition harmonically convex and concave functions as follow.
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