Abstract

In this paper, by using power-mean and improved power-mean integral in- equality and an general identity for differentiable functions we can get new estimates on integral inequalities for functions whose derivatives in absolute value at certain power are quasi-convex functions. It is proved that the result obtained improved power-mean integral inequality is better than the result obtained power-mean inequality. Some ap- plications to special means of real numbers are also given.

Details

Title
HERMITE-HADAMARD TYPE INEQUALITIES FOR QUASI-CONVEX FUNCTIONS VIA IMPROVED POWER-MEAN INEQUALITY.
Author
Kadakal, M
First page
194
Publication year
2021
Publication date
2021
Publisher
Elman Hasanoglu
e-ISSN
21461147
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2477254826
Copyright
© 2021. This work is licensed under http://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.