Generalization of integral inequalities of the type of Hermite-Hadamard through invexity

Shahid Qaisar; Sabir Hussain

doi:10.26637/mjm301/010

Abstract

In this paper, we obtain some inequalities of Hermite-Hadamard type for functions whose derivatives absolute values are prequasiinvex function. Applications to some special means are considered.

Keywords:

Hermite-Hadamard inequality, quasi-convex function, power-mean inequality, Holder’s integral inequality

Mathematics Subject Classification:

26D07, 26D10, 26D15, 47A63

Authors Imprint References Funding Related Articles Downloads

Shahid Qaisar Department of Mathematics, Comsats Institute of Information Technology Sahiwal Pakistan.
Sabir Hussain Department of Mathematics, College of Science, Qassim University,P.O. Box 6644, Buraydah 51482, Saudi Arabia.

Pages: 99-109
Date Published: 01-01-2015
Vol. 3 No. 01 (2015): Malaya Journal of Matematik (MJM)

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