An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications
In this study, we introduce a novel local fractional integral identity related to the Gaussian two-point left Radau rule. Based on this identity, we establish some new fractal inequalities for functions whose first-order local fractional derivatives are generalized convex and concave. The obtained results not only represent an extension of certain previously established findings to fractal sets but also a refinement of these when the fractal dimension μ is equal to one. Finally, to support our findings, we present a practical application to demonstrate the effectiveness of our results.
Authors
- Abdellatif Ben Makhlouf (ORCID: https://orcid.org/0000-0001-7142-7026)
- Muhammad Uzair Awan (ORCID: https://orcid.org/0000-0002-1019-9485)
- Badreddine Meftah (ORCID: https://orcid.org/0000-0002-0156-7864)
- Abdelghani Lakhdari (ORCID: https://orcid.org/0000-0003-2943-2678)
- Sever S Dragomir (ORCID: https://orcid.org/0000-0003-2902-6805)
- Bandar Bin‐Mohsin (ORCID: https://orcid.org/0000-0002-2160-4159)
- Nour El Islem Karabadji (ORCID: https://orcid.org/0000-0002-5307-7090)
Institutions
- University of Sfax (TN)
- Government College University, Faisalabad (PK)
- King Saud University (SA)
- University of Guelma (DZ)
- Victoria University (AU)
Publication Details
- Journal
- Axioms
- Published
- 2024-09-23
- DOI
- https://doi.org/10.3390/axioms13090653
- Citations
- 4
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.90
Funders
- King Saud University