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Statistical approximation by positive linear operators

100%

Duman O., Orhan C.

Studia Mathematica

2004

tom 161

nr 2

187-197

Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence {Tₙ(f;x)} of positive linear operators acting from a weighted space $C_{ϱ₁}$ into a weighted space $B_{ϱ₂}$.

On integral type generalizations of positive linear operators

81%

Duman O., Özarslan M., Doğru O.

Studia Mathematica

2006

tom 174

nr 1

1-12

We introduce a sequence of positive linear operators including many integral type generalizations of well known operators. Using the concept of statistical convergence we obtain some Korovkin type approximation theorems for those operators, and compute the rates of statistical convergence. Furthermore, we deal with the local approximation and the rth order generalization of our operators.

Ograniczanie wyników

2 Studia Mathematica

2 Duman O.

1 Doğru O.

1 Orhan C.

1 Özarslan M.

1 2006

1 2004

Wyniki wyszukiwania

Statistical approximation by positive linear operators

On integral type generalizations of positive linear operators