Volume 18, Issue 1 (4-2023)                   IJMSI 2023, 18(1): 193-210 | Back to browse issues page

‎ 10.52547/ijmsi.18.1.193

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On Fejér Type Inequalities for (η1,η2)-Convex Functions
M. Rostamian Delavar, S. Mohammadi Aslani, S. M. Vaezpour
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, Fejér inequality, Trapezoid inequality, Mid-point inequality.
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Type of Study: Research paper | Subject: General
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