Approximation by statistical convergence with respect to power series methods
Nilay Şahin Bayram, Sevda Yıldız
Abstract
In the present work, using statistical convergence with respect to power series methods, we obtain various Korovkin-type approximation theorems for linear operators defined on derivatives of functions. Then we give an example satisfying our approximation theorem. We study certain rate of convergence related to this method. In the final section we summarize these results to emphasize the importance of the study.
Topics & Concepts
MathematicsPower seriesConvergence (economics)Series (stratigraphy)Rate of convergenceApplied mathematicsNormal convergenceConvergence testsPower (physics)Mathematical analysisKey (lock)Computer scienceComputer securityEconomic growthPaleontologyQuantum mechanicsEconomicsPhysicsBiologyApproximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsMathematical Approximation and Integration