Abstract
The main motivation of this paper is to establish certain Grüss type inequalities by using the new generalized (l, m)-Riemman-Liouville fractional integrals. We obtain the related results for the geometric, arithmetic, and harmonic (l, m)-Riemman-Liouville fractional integrals as special cases of our general results. Also, we apply the Young’s and Cauchy-Schwarz inequalities to obtain the variety of some related estimates. Our findings have potential applications in various fields of mathematical analysis and its related disciplines.
| Original language | English |
|---|---|
| Pages (from-to) | 22-37 |
| Number of pages | 16 |
| Journal | Journal of Mathematics and Computer Science |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| State | Published - 29 May 2025 |
Bibliographical note
Publisher Copyright:© 2026 All rights reserved.
Funding
All authors are deeply grateful to the referees for their valuable suggestions, which significantly improved the final version of this paper. Professor Miguel Vivas-Cortez acknowledge the funding provided by Pontificia Universidad Católica del Ecuador, Project UIO-077-2024: La derivada fraccionaria general-izada, nuevos resultados y aplicaciones a desigualdades integrales.
| Funders | Funder number |
|---|---|
| Pontifical Catholic University of Ecuador | UIO-077-2024 |
Keywords
- fractional integrals
- Inequalities
- kernel
- means
- Young’s inequality