An Extension of Left Radau Type Inequalities to Fractal Spaces and Applications
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Date
2024-09-23
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Licensee MDPI, Basel, Switzerland.
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 ยต is equal to one. Finally, to support our findings, we present a practical application to demonstrate the effectiveness of our results.