Title of article :
On Fejér Type Inequalities for (η1,η2)-Convex Functions
Author/Authors :
Rostamian Delavar ، M. Department of Mathematics - Faculty of Basic Sciences - University of Bojnord , Mohammadi Aslani ، S. Department of Mathematics - Islamic Azad University, Karaj Branch , Vaezpour ، M. Department of Mathematics and Computer Sciences - Amirkabir University of Technology
Abstract :
In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (η1,η2)-convex.
Keywords :
Generalized convex function , Trapezoid inequality , Mid , point inequality
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
