Fractional Simpson like type inequalities for differentiable s-convex functions

N. Kamouche; S. Ghomrani; B. Meftah

doi:10.2478/jamsi-2022-0006

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Fractional Simpson like type inequalities for differentiable s-convex functions

Journal of Applied Mathematics, Statistics and Informatics

Volume 18 (2022): Issue 1 (May 2022)

By: N. Kamouche, S. Ghomrani and B. Meftah

Open Access

|Jul 2022

Abstract

In this paper, based on new identity we establish some new Simpson like type inequalities for functions whose first derivatives are s-convex via Riemann-Liouville fractional integrals. The case where the derivatives are bounded as well as the case where the derivatives satisfy the Hölder condition are also discussed. The obtained results extend some known results and refine another one. Applications of the results are given at the end.

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Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2022-0006 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 73 - 91

Published on: Jul 4, 2022

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Simpson like inequality,

Related subjects:

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2022 N. Kamouche, S. Ghomrani, B. Meftah, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 18 (2022): Issue 1 (May 2022)