An expanded analysis of local fractional integral inequalities via generalized $(s,P)$-convexity
Hong Li, Abdelghani Lakhdari, Fahd Jarad, Hongyan Xu, Badreddine Meftah
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 $(s,P)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mo>(</mml:mo><mml:mi>s</mml:mi><mml:mo>,</mml:mo><mml:mi>P</mml:mi><mml:mo>)</mml:mo></mml:math> -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.
Topics & Concepts
MathematicsDifferentiable functionConvexityConvex functionFunction (biology)Regular polygonClass (philosophy)Applied mathematicsAlgorithmMathematical analysisComputer scienceGeometryArtificial intelligenceFinanceBiologyEvolutionary biologyEconomicsMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsIterative Methods for Nonlinear Equations