Applications of Generalized Weighted Statistical Convergence to Approximation Theorems for Functions of One and Two Variables
Faruk Özger
Abstract
In this article, we apply weighted A−statistical convergence to obtain some general approximation results for λ−Bernstein operators. We prove a weighted A−statistical Voronovskaja-type approximation theorem. We support our theoretical parts about approximation properties of constructed bivariate λ−Bernstein operators with numerical results and graphics.
Topics & Concepts
MathematicsBivariate analysisConvergence (economics)Applied mathematicsBernstein polynomialType (biology)Rate of convergenceStatisticsEngineeringChannel (broadcasting)Electrical engineeringEconomicsBiologyEconomic growthEcologyApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationHolomorphic and Operator Theory