<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this paper, based on new identity we establish some new Simpson like type inequalities for functions whose first derivatives are <italic>s</italic>-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.</p>
</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.

Fractional Simpson like type inequalities for differentiable <italic>s</italic>-convex functions

Department of Mathematics, Faculty of Sciences

Département des Mathématiques, Faculté des mathématiques, de l’informatique et des sciences de la matière

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fractional Simpson like type inequalities for differentiable -convex functions

In this paper, based on new identity we establish some new Simpson like type inequalities for functions whose first derivatives are s-convex via...

Fractional Simpson like type inequalities for differentiable s-convex functions

Publié en ligne: 04 juil. 2022

Pages: 73 - 91

DOI: https://doi.org/10.2478/jamsi-2022-0006

Mots clés
Simpson like inequality, -convex functions, Hölderian functions, bounded functions

© 2022 N. Kamouche et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fractional Simpson like type inequalities for differentiable s-convex functions

Publié en ligne: 04 juil. 2022

Pages: 73 - 91

DOI: https://doi.org/10.2478/jamsi-2022-0006

Mots clésSimpson like inequality, -convex functions, Hölderian functions, bounded functions

© 2022 N. Kamouche et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
Simpson like inequality, -convex functions, Hölderian functions, bounded functions