IJPAM: Volume 99, No. 1 (2015)

HERMITE-HADAMARD TYPE INEQUALITIES FOR
HARMONICALLY $S$-CONVEX FUNCTIONS

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


Abstract. In this paper, the author give some new Hermite-Hadamard type inequality, which estimate the difference between the middle and the leftmost terms in the ordinary Hermite-Hadamard type inequality, for harmonically $s$-convex functions in the second sense by setting up an integral identity for differentiable functions.

Received: June 16, 2014

AMS Subject Classification: 26A51, 26D15, 41A55

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

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DOI: 10.12732/ijpam.v99i1.4 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: 37 - 49


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