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,

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About this paper

Journal

Taiwanese Journal of Mathematics

Publisher Name

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

DOI
Print ISSN

1027-5487

Online ISSN

2224-6851

google scholar link

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2010

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