A new generalization of some integral inequalities and their applications

Abstract

In this paper, a new identity for convex functions is derived. A consequence of the identity is that we can 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. Some applications to special means of real numbers are also given.

15 pages

References in corpus (1)

• Hermite-Hadamard type inequalities for functions whose derivatives are (α,m)-convex

Cited by in corpus (1)

• On new general integral inequalities for quasi-convex functions and their applications