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

Abstract

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 ) $(s,P)$ -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.

Keywords

• Newton-Cotes formula
• Biparametrized identity
• Generalized ( s , P ) $(s,P)$ -convex functions
• Local fractional integral
• Fractal set