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2010 WEIGHTED APPROXIMATION BY $q$-SZÁSZ-KING TYPE OPERATORS
Octavian Agratini, Ogün Dogru
Taiwanese J. Math. 14(4): 1283-1296 (2010). DOI: 10.11650/twjm/1500405945

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.

Citation

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Octavian Agratini. Ogün Dogru. "WEIGHTED APPROXIMATION BY $q$-SZÁSZ-KING TYPE OPERATORS." Taiwanese J. Math. 14 (4) 1283 - 1296, 2010. https://doi.org/10.11650/twjm/1500405945

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1216.41016
MathSciNet: MR2663911
Digital Object Identifier: 10.11650/twjm/1500405945

Subjects:
Primary: 41A25 , 41A36

Keywords: $q$-integers , Positive linear operators , statistical convergence , weighted modulus of smoothness

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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