A new weighted statistical convergence and some associated approximation theorems
Naim L. Braha, Valdete Loku, Toufik Mansour, M. Mursaleen
Abstract
In this paper we study a notion called ( E , 1)( C , 1)−weighted statistical convergence and prove a Korovkin type approximation theorem. The rate of convergence for weighted statistical convergence is obtained. In the last section we also give Voronovskaya and Grüss‐Voronovskaya type theorems and some illustrative numerical examples
Topics & Concepts
MathematicsConvergence (economics)Rate of convergenceDominated convergence theoremApplied mathematicsConvergence testsType (biology)Weak convergenceKey (lock)Computer scienceEconomicsEconomic growthAsset (computer security)BiologyComputer securityEcologyApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationIterative Methods for Nonlinear Equations