On approximation by modified Szasz-Mirakyan operators

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 S_n(f; a_n, b_n) and T_n(f; a_n, b_n) in spaces C_p 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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