BOUNDS FOR GENERALIZED FRACTIONAL INTEGRAL OPERATORS OF GENERALIZED STRONGLY CONVEX FUNCTIONS VIA MITTAG-LEFFLER FUNCTIONS
In this paper, we investigate bounds of the fractional integral operators containing the unified Mittag-Leffler function in their kernels. These bounds are given by applying a generalized class of functions called strongly exponentially [Formula: see text]-convex functions, which give refinements of various types of convexities. Utilized integral operators (2) and (3) unify a lot of well known fractional integral operators. Therefore, the results of this paper contain refinements as well as generalizations of many well-known fractional integral inequalities, which have been published in different articles in recent past.
Authors
- Hafsa Yasmeen
- Ghulam Farid (ORCID: https://orcid.org/0000-0002-4103-7745)
- Ferdous M. O. Tawfiq (ORCID: https://orcid.org/0000-0003-1655-5185)
- Yonghong Liu (ORCID: https://orcid.org/0000-0003-2307-5200)
Institutions
- COMSATS University Islamabad (PK)
- King Saud University (SA)
- Chengdu University (CN)
- Chung-Ang University (KR)
Publication Details
- Journal
- Fractals
- Published
- 2025-06-19
- DOI
- https://doi.org/10.1142/s0218348x25402005
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00