Glasnik Matematicki, Vol. 37, No.2 (2002), 303-319.

ON APPROXIMATION BY MODIFIED SZASZ-MIRAKYAN OPERATORS

Zbigniew Walczak

Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965 Poznan, Poland
e-mail: zwalczak@math.put.poznan.pl


Abstract.   We consider certain modified Szasz-Mirakyan operators Sn(f; an, bn) and Tn(f; an, bn) in spaces Cp and L of continuous and Lebesgue integrable functions, respectively. We study approximation properties of these operators.

2000 Mathematics Subject Classification.   41A36.

Key words and phrases.   Szasz-Mirakyan operator, Szasz-Mirakyan-Kantorovitch operator, degree of approximation.


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