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

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2024年6月7日

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Hong Li,
Abdelghani Lakhdari,
Fahd Jarad,
Hongyan Xu,
Badreddine Meftah

摘要

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 $(s, P)$ $(s,P)$ -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.

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

摘要