Hermite-Hadamard type inequalities for logarithmi- cally B-preinvex functions

  • Fiza Zafara, Nawab Hussainb, +4 authors N. Hussain
  • Published 2016

Abstract

In this paper, we introduce the notion of logarithmically B-preinvex functions and establish certain new Hermite-Hadamard type inequalities for the functions whose derivatives in absolute value are logarithmically B-preinvex. Our results generalize several known results for the classes of logarithmically preinvex functions. Some estimates for the left and right hand side of the Hermite-Hadamard inequality are also obtained for a new class of differentiable logarithmically α-preinvex functions. c ©2016 All rights reserved.

Cite this paper

@inproceedings{Zafara2016HermiteHadamardTI, title={Hermite-Hadamard type inequalities for logarithmi- cally B-preinvex functions}, author={Fiza Zafara and Nawab Hussainb and Nusrat Yasmina and Hina Mehbooba and M. Imdad and Fiza Zafar and N. Hussain}, year={2016} }