COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.61, no.9, pp.2614-2620, 2011 (Journal Indexed in SCI)
Article / Article
Title of Journal :
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(alpha, m)-convex functions, Convexity, Hermite-Hadamard inequality, Holder's integral inequality, Power-mean integral inequality, Euler-beta function, Gamma function
In this paper, we establish several new inequalities for functions whose second derivative in absolute value aroused to the qth (q >= 1) power are (alpha, m)-convex. Some applications to special means of positive real numbers are also given. (C) 2011 Elsevier Ltd. All rights reserved.