On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable s-Logarithmically Convex Functions With Applications

Authors

Muhammad Amer Latif, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South AfricaFollow
Sever Silvestru Dragomir, School of Engineering and Science, Victoria University, P. O. Box 14428, Melbourne City, MC8001, Australia\\ School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South AfricaFollow

Author Country (or Countries)

South Africa

Abstract

In this paper, we establish Hermite-Hadamard type inequalities for functions whose nth derivatives are s-logarithmically convex functions. From our results, several results for classical trapezoidal and classical midpoint inequalities are obtained in terms second derivatives that are s-logarithmically convex functions as special cases. Finally, applications to special means of the obtained results are given.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100514

Recommended Citation

Amer Latif, Muhammad and Silvestru Dragomir, Sever (2016) "On Hermite-Hadamard Type Integral Inequalities for n-times Differentiable s-Logarithmically Convex Functions With Applications," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 14.
DOI: http://dx.doi.org/10.18576/amis/100514
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/14