## Taiwanese Journal of Mathematics

### WEIGHTED APPROXIMATION BY $q$-SZÁSZ-KING TYPE OPERATORS

#### Abstract

By using $q$-calculus, in the present paper we construct Szász 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.

#### Article information

Source
Taiwanese J. Math., Volume 14, Number 4 (2010), 1283-1296.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500405945

Digital Object Identifier
doi:10.11650/twjm/1500405945

Mathematical Reviews number (MathSciNet)
MR2663911

Zentralblatt MATH identifier
1216.41016

#### Citation

Agratini, Octavian; Dogru, Ogün. WEIGHTED APPROXIMATION BY $q$-SZÁSZ-KING TYPE OPERATORS. Taiwanese J. Math. 14 (2010), no. 4, 1283--1296. doi:10.11650/twjm/1500405945. https://projecteuclid.org/euclid.twjm/1500405945

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