Inequalities of Fejer Type Related to Generalized Convex Functions

<span lang="EN-US">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 conside...

Full description

Bibliographic Details
Main Authors: S. Mohammadi Aslani, M. Rostamian Delavar, S. M. Vaezpour
Format: Article
Language:English
Published: Etamaths Publishing 2018-01-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1513
Description
Summary:<span lang="EN-US">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.</span>
ISSN:2291-8639