OnFractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

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dc.contributor.authorLAKHDARI Abdelghani
dc.date.accessioned2025-09-17T13:48:44Z
dc.date.available2025-09-17T13:48:44Z
dc.date.issued2024-12-10
dc.description.abstractIn this paper, we introduce a novel fractal–fractional identity, from which we derive new Simpson-type inequalities for functions whose first-order local fractional derivative exhibits generalized s-convexity in the secondsense. Thisworkintroducesanapproachthatusesthefirst-order local fractional derivative, enabling the treatment of functions with lower regularity requirements compared to earlier studies. Additionally, we present two distinct methodological frameworks, one of which achieves greater precision by refining classical outcomes in the existing literature. The paper concludes with several practical applications that demonstrate the utility of our results.
dc.identifier.urihttp://41.111.199.50:4000/handle/123456789/872
dc.language.isoen
dc.publisherLicensee MDPI, Basel, Switzerland.
dc.titleOnFractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results
dc.typeArticle
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