Ostrowski's Type Inequalities for (α, m)-Convex Function

Abstract

In this paper, we establish new inequalities of Ostrowski's type for functions whose derivatives in absolute value are (α, m) −convex.

On Ostrowski-type inequalities for functions whose derivatives are m-convex and (alph, m)-convex functions with applications

“…• , the interior of the interval I , such that generalizations concerning Ostrowski's inequality see [1] - [3], [11,12,14,15] and the references therein.…”

On Generalizations of the Hadamard Inequality for (α, m)-Convex Functions

“…The interested reader can find more about partial ordering of convexity in [15, P. 8,280]. For many papers connected with m−convex and (α, m) −convex functions see ( [2], [3], [6], [11], [12], [13], [14], [19]) and the references therein. There are similar inequalities for s−convex and h−convex functions in [7] and [16], respectively.…”

New Hadamard-type inequalities for functions whose derivatives are $(\alpha ,m)-$convex functions

“…In [12], Miheşan gave definition of (α, m)−convexity as following; [2], [3], [10], [13], [14], and [15].…”