INEQUALITIES FOR FRACTIONAL RIEMANN–LIOUVILLE INTEGRALS VIA MONOTONE FUNCTIONS
Riemann–Liouville (RL) fractional integral operators are applied to extend and generalize the classical real world problems. In this paper, we use RL integrals for monotone functions to extend some well-known inequalities. These inequalities are analyzed by generalizing certain conditions. It is noted that for proving Ostrowski and related classical inequalities, there is no need to establish montgomery-type identities.
Authors
- Luminiţa-Ioana Cotîrlă (ORCID: https://orcid.org/0000-0002-0269-0688)
- Ghulam Farid (ORCID: https://orcid.org/0000-0002-4103-7745)
- Ferdous M. O. Tawfiq (ORCID: https://orcid.org/0000-0003-1655-5185)
- Daniel Breaz (ORCID: https://orcid.org/0000-0002-0095-1346)
Institutions
- Technical University of Cluj-Napoca (RO)
- COMSATS University Islamabad (PK)
- King Saud University (SA)
- 1 Decembrie 1918 University (RO)
Publication Details
- Journal
- Fractals
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1142/s0218348x25401474
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73