# Weighted Approximation by Szasz-King type Operators

## Abstract

By using $$q$$-calculus, in the present paper we construct Szasz type operators in King sense, this meaning the operators preserve the first and the third test function of Bohman-Korovkin theorem. Rate of local and global convergence is obtained in the frame of weighted spaces. The statistical approximation property of our operators is also revealed.

## Authors

Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Ogun Dogru
Gazi University, Ankara, Turkey

## Keywords

q-integers; Positive linear operators; Statistical convergence; Weighted modulus of smoothness

## Paper coordinates

O. Agratini, O. Dogru, Weighted Approximation by Szasz-King type Operators, Taiwanese Journal of Mathematics, 14 (2010) no. 4, pp. 1283-129,

## PDF

##### Journal

Taiwanese Journal of Mathematics

##### Publisher Name

The Mathematical  Society of the Republic of China
Project Euclid??

1027-5487

##### Online ISSN

2224-6851

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