The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the third test function of Korovkin theorem. Quantitative estimates of the rate of convergence are given in different function spaces traveling from classical approximation to approximation in abstract spaces. Particular classes are also studied. Copyright © 2006 Hindawi Publishing Corporation. All rights reserved. 1
summary:Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation the...
In this paper we give some approximation results related to the classical Korovkin-type theorem for ...
In this article we study quantitatively with rates the weak convergence of a sequence of finite posi...
The paper centers around a pair of sequences of linear positive operators. The former has the degree...
The convergence on approximation processes of quasi-positive linear operators is discussed. The resu...
In the present paper, a modification of positive linear operators which was proposed by O. Agratini ...
In this paper, using the concept of statistical -convergence which is stronger than convergence...
In the present article, we introduced a new form of Szász-type operators which preserves test functi...
In this paper, using the concept of A-statistical convergence for double sequences, we investigate a...
AbstractIn this paper, we present a generalization of the classical Korovkin theorem on positive lin...
In this paper, we relax the positivity condition of linear operators in the Korovkin-type approximat...
Here we study quantitatively the rate of convergence of sequences of linear operators acting on Bana...
AbstractMursaleen and Edely [M. Mursaleen and O.H.H Edely, On invariant mean and statistical converg...
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive line...
AbstractIn this paper we study sequences of linear operators which are "almost positive" outside set...
summary:Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation the...
In this paper we give some approximation results related to the classical Korovkin-type theorem for ...
In this article we study quantitatively with rates the weak convergence of a sequence of finite posi...
The paper centers around a pair of sequences of linear positive operators. The former has the degree...
The convergence on approximation processes of quasi-positive linear operators is discussed. The resu...
In the present paper, a modification of positive linear operators which was proposed by O. Agratini ...
In this paper, using the concept of statistical -convergence which is stronger than convergence...
In the present article, we introduced a new form of Szász-type operators which preserves test functi...
In this paper, using the concept of A-statistical convergence for double sequences, we investigate a...
AbstractIn this paper, we present a generalization of the classical Korovkin theorem on positive lin...
In this paper, we relax the positivity condition of linear operators in the Korovkin-type approximat...
Here we study quantitatively the rate of convergence of sequences of linear operators acting on Bana...
AbstractMursaleen and Edely [M. Mursaleen and O.H.H Edely, On invariant mean and statistical converg...
In this paper, we obtain a Korovkin type approximation theorem for double sequences of positive line...
AbstractIn this paper we study sequences of linear operators which are "almost positive" outside set...
summary:Using the concept of $\mathcal {I}$-convergence we provide a Korovkin type approximation the...
In this paper we give some approximation results related to the classical Korovkin-type theorem for ...
In this article we study quantitatively with rates the weak convergence of a sequence of finite posi...