Some Generalizations of Hermite-Hadamard Type Integral Inequalities and their Applications

Authors

  • Muhammad Muddassar Department of Mathematics University of Engineering and Technology, Taxila. Pakistan.
  • Muhammad I. Bhatti Department of Mathematics University of Engineering and Technology, Lahore. Pakistan.

Keywords:

Hermite-Hadamard type inequality, (h − (α, m))-Convex Function, Holder ¨ inequality, Special means, Midpoint formula, Trapezoidal Formula

Abstract

In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermite- Hadamard integral inequality for mappings whose derivatives are (h−(α, m))-convex.The generalized integral inequalities contribute some better estimates than some already presented. The inequalities are then applied to numerical integration and some special means.

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Published

2014-06-30

Issue

Vol. 46 No. 1 (2014)

Section

Articles

How to Cite

Some Generalizations of Hermite-Hadamard Type Integral Inequalities and their Applications. (2014). Punjab University Journal of Mathematics, 46(1), 9-18. https://pujm.pu.edu.pk/index.php/pujm/article/view/19