On Fejer Type Inequalities for (?1,?2)-Convex Functions

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

IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS（2023）

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摘要

. In this paper we find a characterization type result for (eta 1, eta 2)convex functions. The Feje ' r integral inequality related to (eta 1, eta 2)-convex functions is obtained as a generalization of Feje ' r inequality related to the preinvex and eta-convex functions. Also some Feje ' r trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (eta 1, eta 2)-convex.

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关键词

Generalized convex function, Feje?r inequality, Trapezoid inequal-ity, Mid-point inequality

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