Volume 18, Issue 1 (4-2023)
IJMSI 2023, 18(1): 193-210 |
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Rostamian Delavar M, Mohammadi Aslani S, Vaezpour S M. On Fejér Type Inequalities for (η1,η2)-Convex Functions. IJMSI 2023; 18 (1) :193-210
URL: http://ijmsi.ir/article-1-1539-en.html
URL: http://ijmsi.ir/article-1-1539-en.html
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.
Type of Study: Research paper |
Subject:
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