Generalisations of integral inequalities of Hermite-Hadamard type through convexity

Authors

  • M. Muddassar Department of Mathematics, University of Engineering & Technology, Lahore
  • M. I. Bhatti Department of Mathematics, University of Engineering & Technology, Lahore. Pakistan
  • W. Irshad Department of Mathematics, University of Engineering & Technology, Lahore. Pakistan

Keywords:

Hermite-Hadamard type inequality, (s-(alpha, m))-Convex function, p-Logarithmic mean, H¨older’s Integral Inequality, Trapezoidal formula, Special Means.

Abstract

ABSTRACT. In this paper, we establish various inequalities for some differentiable mappings that are linked with the illustrious Hermit - Hadamard integral inequality for mappings whose derivatives are (s -(alpha, 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. 10.1017/S0004972712000937

Author Biographies

M. Muddassar, Department of Mathematics, University of Engineering & Technology, Lahore

Ph.D Scholar, Department of Mathematics, University of Engineering & Technology, Lahore. Pakistan

M. I. Bhatti, Department of Mathematics, University of Engineering & Technology, Lahore. Pakistan

Associate Professor, Department of Mathematics.

W. Irshad, Department of Mathematics, University of Engineering & Technology, Lahore. Pakistan

Ph.D Scholar

Published

2013-08-10

Issue

Section

Articles