Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule-Reference-Cited by-同舟云学术

Bounds for the Error in Approximating a Fractional Integral by Simpson’s Rule

Published:2023-05-13 Issue:10 Volume:11 Page:2282
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Budak Hüseyin¹^ORCID,Hezenci Fatih¹^ORCID,Kara Hasan¹^ORCID,Sarikaya Mehmet Zeki¹^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science and Arts, Duzce University, Düzce 81620, Türkiye

Abstract

Simpson’s rule is a numerical method used for approximating the definite integral of a function. In this paper, by utilizing mappings whose second derivatives are bounded, we acquire the upper and lower bounds for the Simpson-type inequalities by means of Riemann–Liouville fractional integral operators. We also study special cases of our main results. Furthermore, we give some examples with graphs to illustrate the main results. This study on fractional Simpson’s inequalities is the first paper in the literature as a method.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2282/pdf

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