On Fejér Type Inequalities for (η1,η2)-Convex Functions

Authors

  • M. Rostamian Delavar Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
  • S. M. Vaezpour Department of Mathematics and Computer Sciences, Amirkabir University of Technology, 242 Hafez Ave, Tehran, Iran
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.

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Journal title

volume 18  issue 1

pages  193- 210

publication date 2023-04

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