Some Simpson’s type inequalities via fractional integral with respect to another function and its applications

Authors

• Henok Desalegn Desta, Addis Ababa University
• Deepak B. Pachpatte
• Jebessa B. Mijena, Georgia College & State University
• Tadesse Abdi, Addis Ababa University

Document Type

Article

Publication Date

1-1-2024

Publication Title

Palestine Journal of Mathematics

Abstract

In this article, we obtained a new fractional integral identity, and using it, we established some new Simpson’s type inequalities for s-convex functions in the second sense through the fractional integral operators of a function with respect to another function. Some applications of the obtained results to special means are also provided. Our results are more generalized in nature.

Volume Number

13

Issue Number

3

First Page

158

Last Page

173

Recommended Citation

Desta, Henok Desalegn; Pachpatte, Deepak B.; Mijena, Jebessa B.; and Abdi, Tadesse, "Some Simpson’s type inequalities via fractional integral with respect to another function and its applications" (2024). Faculty and Staff Works. 1068.
https://kb.gcsu.edu/fac-staff/1068