S. Aslani, M. R. Delavar, S. M. Vaezpour
tlooto Summary
This paper investigates Fejer type inequalities for (η1, η2)-convex functions without relying on Holder's inequality under certain conditions.
Abstract
This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Holder’s inequality when the absolute value of the derivative of considered function is (η1, η2)-convex. Furthermore we give two estimation results when the derivative of considered function is bounded and satisfies a Lipschitz condition.
Citation format
ASLANI, S.; DELAVAR, M. R.; VAEZPOUR, S. M. Inequalities of fejer type related to generalized convex functions. International Journal of Analysis and Applications, 2018, 16: 38–49.