On One- and Two-Dimensional α–Stancu–Schurer–Kantorovich Operators and Their Approximation Properties
Md Heshamuddin, Nadeem Rao, P. Lamichhane, Adem Kılıçman, M. Mursaleen
Abstract
The goal of this research article is to introduce a sequence of α–Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity. A Voronovskaja-type approximation result is also proven. Next, error analysis and convergence of the operators for certain functions are presented numerically and graphically. Furthermore, two-dimensional α–Stancu–Schurer–Kantorovich operators are constructed and their rate of convergence, graphical representation of approximation and numerical error estimates are presented.
Topics & Concepts
MathematicsRate of convergenceConvergence (economics)Modulus of continuityRepresentation (politics)Sequence (biology)Approximation errorApplied mathematicsOrder (exchange)Type (biology)Computer scienceChannel (broadcasting)FinancePolitical scienceBiologyGeneticsEconomicsEconomic growthLawPoliticsEcologyComputer networkApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationIterative Methods for Nonlinear Equations