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An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications

Year: 2024
Type: article
Abstract: 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.
Source: Axioms
DOI: 10.3390/axioms13090653
Authors: Bandar Bin-Mohsin, Abdelghani Lakhdari, Nour El Islem Karabadji, Muhammad Uzair Awan, Abdellatif Ben Makhlouf, Badreddine Meftah, Silvestru Sever Dragomir
Institutions: King Saud University, National Higher School of Technology and Engineering Annaba, Government College University, Faisalabad, University of Sfax, Faculty of Sciences of Sfax, University of Guelma, Victoria University
Language: English
Open Access status: gold
Estimated APC paid: $2,728
Award: G183514452
OpenAlex ID: W4402763686
FWCI: 3.818
Cites: 32
Cited by: 5
Related to: 10