Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions-Reference-Cited by-同舟云学术

Some Simpson’s Riemann–Liouville Fractional Integral Inequalities with Applications to Special Functions

Published:2022-02-23 Issue: Volume:2022 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Nasir Jamshed¹^ORCID,Qaisar Shahid²^ORCID,Butt Saad Ihsan¹^ORCID,Khan Khuram Ali³^ORCID,Mabela Rostin Matendo⁴^ORCID

Affiliation:

1. COMSATS University Islamabad, Lahore Campus, Islamabad, Pakistan

2. COMSATS University Islamabad, Sahiwal Campus, Islamabad, Pakistan

3. Department of Mathematics, University of Sargodha, Sargodha, Pakistan

4. Department of Maths and Computer Science, Faculty of Science, University of Kinshasa, Kinshasa, Democratic Republic of the Congo

Abstract

Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson-type inequalities in terms of the first derivative is discussed. Here, some more inequalities for convexity as well as concavity are established. We expect that present outcomes are the generalization of already obtained results. Applications to beta, q-digamma, and Bessel functions are also provided.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/2113742.pdf

Reference29 articles.

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