Refinement of Jensen-type inequalities: fractional extensions (global and local)
In this paper, our main objective was to establish new refinements of Jensen's inequality. We focused on the class of convex and harmonic convex functions. In addition, we extended these results to the generalized Caputo-type fractional integral and the generalized local fractional derivative.
Authors
- José M. Rodrı́guez (ORCID: https://orcid.org/0000-0003-2851-7442)
- José M. Sigarreta (ORCID: https://orcid.org/0000-0002-0863-4695)
- Jorge A. Paz Moyado
- Paul Bosch (ORCID: https://orcid.org/0000-0001-5194-4173)
Institutions
- Universidad del Desarrollo (CL)
- Universidad Autónoma de Guerrero (MX)
- Universidad Carlos III de Madrid (ES)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025301
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73