Title of article :
SOME INEQUALITIES FOR B −1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR
Author/Authors :
YESILCE, I Faculty of Science and Letters - Aksaray University - Aksaray, Turkey
Abstract :
In this paper, B
−1
-convexity which is an abstract convexity type is studied.
In addition, some new Hermite-Hadamard type inequalities for B
−1
-convex functions
involving Riemann-Liouville type integral operators that are more general from classic
integral operators are proven
Keywords :
Abstract convexity , B −1 -convexity , fractional integral , Hermite-Hadamard inequalities
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
