IJPAM: Volume 99, No. 1 (2015)

GENERALIZATIONS OF THE HERMITE-HADAMARD TYPE
INEQUALITIES FOR HARMONICALLY
UASI-CONVEX FUNCTIONS

Jaekeun Park
Department of Mathematics
Hanseo University
Seosan, Chungnam, 356-706, KOREA


Abstract. In this paper, some new results related to the right-hand side of the Hermite-Hadamard type inequality for the class of functions whose derivatives at certain powers are harmonically quasi-convex functions are obtained.

Received: June 16, 2014

AMS Subject Classification: 26A51, 26D15

Key Words and Phrases: Hermite-Hadamard type inequality, Simpson type inequality, Hölder's inequality, harmonically convexity

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DOI: 10.12732/ijpam.v99i1.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 1
Pages: 51 - 64


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