New Hermite-Hadamard Type Inequalities With Applications

Authors

  • Muhammad Adil Khan Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  • Yousaf Khurshid Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  • Silvestru Sever Dragomir School of Computer Science and Mathematics, Victoria University of Technology, P. O. Box 14428, MCMC 8001 Victoria, Australia.
  • Rizwan Ullah Department of Mathematics, Islamia College University, Peshawar, Pakistan.

Keywords:

Convex function, Hermite-Hadamard inequality, Jensen’s inequality, means, mid point formula.

Abstract

In this manuscript, we have established two new integral identities connected with the left hand side of Hermite-Hadamard (H-H) inequality. By using these identities, we have obtained some new bounds for the Hadamard’s type inequalities. We have also presented applications for means and for some error estimates of the mid point formula. 

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Published

2018-09-30

Issue

Vol. 50 No. 3 (2018)

Section

Articles

How to Cite

New Hermite-Hadamard Type Inequalities With Applications. (2018). Punjab University Journal of Mathematics, 50(3), 1-12. https://pujm.pu.edu.pk/index.php/pujm/article/view/136