An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications
AXIOMS, no.9, 2024 (SCI-Expanded)
- Publication Type: Article / Article
- Publication Date: 2024
- Doi Number: 10.3390/axioms13090653
- Journal Name: AXIOMS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
- Kocaeli University Affiliated: No
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 mu is equal to one. Finally, to support our findings, we present a practical application to demonstrate the effectiveness of our results.