An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications
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Date
2024-09
Journal Title
Journal ISSN
Volume Title
Publisher
axioms
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.
Description
https://doi.org/10.3390/
2024, 13, 653.