## Abstract and Applied Analysis

### Approximation of the Summation-Integral-Type $q$-Szász-Mirakjan Operators

#### Abstract

We introduce summation-integral-type $q$-Szász-Mirakjan operators and study approximation properties of these operators. We establish local approximation theorem. We give weighted approximation theorem. Also we estimate the rate of convergence of these operators for functions of polynomial growth on the interval $[0,\infty )$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 614810, 16 pages.

Dates
First available in Project Euclid: 28 March 2013

https://projecteuclid.org/euclid.aaa/1364475958

Digital Object Identifier
doi:10.1155/2012/614810

Mathematical Reviews number (MathSciNet)
MR2999907

Zentralblatt MATH identifier
1312.41028

#### Citation

Ren, Mei-Ying; Zeng, Xiao-Ming. Approximation of the Summation-Integral-Type $q$ -Szász-Mirakjan Operators. Abstr. Appl. Anal. 2012 (2012), Article ID 614810, 16 pages. doi:10.1155/2012/614810. https://projecteuclid.org/euclid.aaa/1364475958

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