Inequalities of Fejer Type Related to Generalized Convex Functions

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S. Mohammadi Aslani, M. Rostamian Delavar, S. M. Vaezpour, Inequalities of Fejer Type Related to Generalized Convex Functions, Int. J. Anal. Appl., 16 (1) (2018), 38-49.

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S. Mohammadi Aslani, M. Rostamian Delavar, S. M. Vaezpour

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 Hölder'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.

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