SOME NEW PARAMETRIZED INEQUALITIES ON FRACTAL SET
Hong-Yan Xu, Abdelghani Lakhdari, Wedad Saleh, Badreddine Meftah
Abstract
The aim of this study is to examine certain open three-point Newton–Cotes-type inequalities for differentiable generalized [Formula: see text]-convex functions on a fractal set. To begin, we introduce a novel parametrized identity involving the relevant formula, which yields various new findings as well as previously established ones. Finally, an example is given to demonstrate the accuracy of the new results and their graphical depiction. Moreover, we emphasize the applications of the results obtained.
Topics & Concepts
FractalSet (abstract data type)InequalityMathematicsPure mathematicsApplied mathematicsStatistical physicsMathematical analysisComputer sciencePhysicsProgramming languageMathematical Inequalities and ApplicationsFunctional Equations Stability ResultsAnalytic and geometric function theory