Abstract and Applied Analysis

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

Mei-Ying Ren and Xiao-Ming Zeng

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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 , ) .

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

First available in Project Euclid: 28 March 2013

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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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