Inequalities for Three Times Differentiable Functions

Authors

  • Muhammad Adil Khan Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  • Yousaf Khurshid Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  • Tahir Ali Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  • Nasir Rehman Department of Mathematics, Allama Iqbal Open University, Islamabad , Pakistan.

Keywords:

Convex function, Hermite-Hadamard inequality, Mean, Midpoint formula

Abstract

In this article, first we prove a new integral identity and present some general inequalities of Hadamard’s type for the functions whose third derivative are concave (convex). Second applications for special means and some new error estimates of the Midpoint formula are given. 

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Published

2016-12-31

Issue

Vol. 48 No. 2 (2016)

Section

Articles

How to Cite

Inequalities for Three Times Differentiable Functions. (2016). Punjab University Journal of Mathematics, 48(2), 35-48. https://pujm.pu.edu.pk/index.php/pujm/article/view/69