IJPAM: Volume 80, No. 5 (2012)
FOR -CONVEX FUNCTIONS
Faculty of Mathemathical Sciences
P.O. Box 115, Shahrekord, IRAN
Abstract. The aim of this work is to establish several new results related to the left hand side of the Hermite-Hadamard inequality for functions whose first derivative in absolute value aroused to the th power are -convex.Some applications to special means of positive real numbers are considered.
Received: July 9, 2012
AMS Subject Classification: 26D10, 39B62
Key Words and Phrases: Hermite-Hadamard inequality, -convex function, convexity, Hölder inequality
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395