Korovkin type theorems and its applications via αβ- statistically convergence
Naim L. Braha, Valdete Loku
Abstract
In this paper we will introduce the generalized concept of the weighted statistical convergence, introduced by Aktuglu. We will show a new weighted statistical convergence and based on this definition we will prove a kind of the Korovkin type theorems. Also we will show the rate of the convergence for this kind of weighted statistical convergence and Voronovskaya type theorem.
Topics & Concepts
MathematicsType (biology)Convergence (economics)Applied mathematicsPure mathematicsEcologyEconomic growthBiologyEconomicsApproximation Theory and Sequence SpacesMathematical Approximation and IntegrationAdvanced Harmonic Analysis Research