An expanded analysis of local fractional integral inequalities via generalized (s, P)-convexity

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Date
2024
Journal Title
Journal ISSN
Volume Title
Publisher
Journal of Inequalities and Applications
Abstract
This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized (s,P)-convex functions. To accomplish this objective, we introduce a novel integral identity and deduce multiple integral inequalities tailored to mappings within the aforementioned function class. Furthermore, we present an illustrative example featuring graphical representations and potential practical applications.
Description
(2024) 2024:78 https://doi.org/10.1186/s13660-024-03152-y
Keywords
Newton-Cotes formula, Biparametrized identity, Generalized (s, P)-convex functions, Local fractional integra, Fractal set
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