Some Weighted Hermite-Hadamard-Noor Type Inequalities for Differentiable Preinvex and Quasi Preinvex Functions

Authors

  • Muhammad Amer Latif School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa.
  • Sever Silvestru Dragomir (1) School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, MC 8001, Australia. (2) School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa.
  • Ebrahim Momoniat Center for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa.

Keywords:

Hermite-Hadamard’s inequality, invex set, preinvex function, quasi preimvex function, Holder’s integral inequality, power-mean inequality

Abstract

In this paper, we derive several weighted Hermite-HadmardNoor type inequalities for the differentiable preinvex functions and quasi
preinvex functions.

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Published

2015-06-30

Issue

Vol. 47 No. 1 (2015)

Section

Articles

How to Cite

Some Weighted Hermite-Hadamard-Noor Type Inequalities for Differentiable Preinvex and Quasi Preinvex Functions. (2015). Punjab University Journal of Mathematics, 47(1), 55-70. https://pujm.pu.edu.pk/index.php/pujm/article/view/39