Title of article
Hermite-Hadamard type inequalities for logarithmically B-preinvex functions
Author/Authors
Zafar ، Fiza - Bahauddin Zakariya University , Hussain ، Nawab - King Abdulaziz University , Yasmin ، Nusrat - Bahauddin Zakariya University , Mehboob ، Hina - Bahauddin Zakariya University
Pages
17
From page
6096
To page
6112
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.
Keywords
Hermite , Hadamard inequality , logarithmically B , preinvex functions , convex functions.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2016
Journal title
Journal of Nonlinear Science and Applications
Record number
2475685
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