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Approximation of functions of two variables by modified Szasz-Mirakyan operators (Q2757004)

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scientific article; zbMATH DE number 1675630
Language Label Description Also known as
English
Approximation of functions of two variables by modified Szasz-Mirakyan operators
scientific article; zbMATH DE number 1675630

    Statements

    21 November 2001
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    Szasz-Mirakyan operators
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    exponential weight spaces
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    Voronovskaya type theorem
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    Approximation of functions of two variables by modified Szasz-Mirakyan operators (English)
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    Here the author studies modified Szasz-Mirákyan operators in the exponential weighted spaces of continuous functions of two variables. The theorems proved here for functions of two variables are similar to those known for functions of one variable as given by \textit{M. Becker, D. Kucharski} and \textit{R. J. Nessel} [Lin. Räume und Approx., Abh. Tag. Oberwolfach 1977, ISNM 40, 319--333 (1978; Zbl 0386.41014)] and by \textit{L. Rempulska} and \textit{Z. Walczak} [Matematiche 55, No. 1, 121--132 (2000; Zbl 1055.41008)].
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    Identifiers