Hermite-Hadamard Inequalities for L(j)-convex Functions and S(j)-convex Functions

Ilknur Yesilcea,* and Gabil Adilovb

Hermite-Hadamard Inequalities for L(j)-convex Functions and S(j)-convex Functions

Authors :

Ilknur Yesilce^a,* and Gabil Adilov^b

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.