Weighted Approximation by Szasz-King type Operators


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.


Octavian Agratini
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Ogun Dogru
Gazi University, Ankara, Turkey


q-integers; Positive linear operators; Statistical convergence; Weighted modulus of smoothness

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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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Taiwanese Journal of Mathematics

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The Mathematical  Society of the Republic of China
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