Hermite-Hadamard Inequalities for L(j)-convex Functions and S(j)-convex Functions
Authors :
Ilknur Yesilcea,* and Gabil Adilovb
Author Address :
aDepartment of Mathematics, Faculty of Science and Letters, Mersin University, Ciftlikkoy Campus, 33343, Mersin, Turkey.
bDepartment of Mathematics, Faculty of Education, Akdeniz University, Dumlupinar Boulevard 07058, Campus, Antalya, Turkey.
*Corresponding author.
Abstract :
In this article, Hermite-Hadamard Inequalities for L(j)-convex functions are analyzed. S(j)-convex functions which is founded upon $\mathbb B^{-1}-$convexity concept, are defined and for this functions, Hermite-Hadamard Inequalities are investigated. On some special domains, concrete form of inequalities are denoted.
Keywords :
Hermite-Hadamard inequalities, L(j)-convex functions, S(j)-convex functions, abstract convexity.
DOI :
Article Info :
Received : December 03, 2014; Accepted : May 10, 2015.