Some Midpoint Inequalities for η-Convex Function via Weighted Fractional Integrals

In this research, by using a weighted fractional integral, we establish a midpoint version of Hermite-Hadamrad Fejér type inequality for η-convex function on a specific interval. To confirm the validity, we considered some special cases of our results and relate them with already existing results. I...

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Bibliographic Details
Main Authors: Lei Chen, Waqas Nazeer, Farman Ali, Thongchai Botmart, Sarah Mehfooz
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/1652888
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Summary:In this research, by using a weighted fractional integral, we establish a midpoint version of Hermite-Hadamrad Fejér type inequality for η-convex function on a specific interval. To confirm the validity, we considered some special cases of our results and relate them with already existing results. It can be observed that several existing results are special cases of our presented results.
ISSN:2314-8888