Estimates of Hermite-Hadamard Inequality for Twice Differentiable Harmonically-Convex Functions with Applications

Authors

  • Muhammad Amer Latif Department of Mathematics, University of Hail, Saudi Arabia.

Keywords:

Convex function, Harmonically convex function, Hermite-Hadamard inequality, Hypergeometric function

Abstract

By using an identity involving a twice differentiable mapping and mathematical analysis techniques, some new estimates are presented for the error bounds of1k2−k1R k2k1f (s) ds −f(k1)+f(k2)2. We have derived some inequalities of special menas of positive real numbers as applications of the proven results.

Downloads

Download data is not yet available.

Downloads

Published

2018-03-31

Issue

Vol. 50 No. 1 (2018)

Section

Articles

How to Cite

Estimates of Hermite-Hadamard Inequality for Twice Differentiable Harmonically-Convex Functions with Applications. (2018). Punjab University Journal of Mathematics, 50(1), 1-13. https://pujm.pu.edu.pk/index.php/pujm/article/view/114