Rates of Power Series Statistical Convergence of Positive Linear Operators and Power Series Statistical Convergence of $$\boldsymbol{q}$$-Meyer–König and Zeller Operators
Dilek Söylemez, Mehmet Ünver
Abstract
In this paper we compute the rates of convergence of power series statistical convergence of sequences of positive linear operators. We also investigate some Korovkin type approximation properties of the $$q$$ -Meyer–König and Zeller operators and Durrmeyer variant of the $$q$$ -Meyer–König and Zeller operators via power series statistical convergence. We show that the approximation results obtained in this paper expand some previous approximation results of the corresponding operators.
Topics & Concepts
MathematicsPower seriesConvergence (economics)Series (stratigraphy)Rate of convergenceLinear operatorsPower (physics)Applied mathematicsNormal convergenceOperator theoryPure mathematicsMathematical analysisElectrical engineeringBiologyBounded functionQuantum mechanicsPhysicsEconomicsPaleontologyEngineeringEconomic growthChannel (broadcasting)Approximation Theory and Sequence SpacesMathematical Approximation and IntegrationAdvanced Harmonic Analysis Research