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On simultaneous approximation by linear combination of Szász-Mirakian operators. (English) Zbl 0776.41007

The author gives a theorem on simultaneous approximation by linear combination of Szasz-Mirakian operators of elements of a certain class of unbounded functions. The result given here extends and improves upon some previous results of X. Sun [J. Approximation Theory 55, No. 3, 279- 288 (1988; Zbl 0697.41009)], J. Grof [Magyar Tud. Akad. Mat. Fiz. Oszt. Köszl. 20, 35-44 (1971; Zbl 0219.41010)] and B. Wood [J. Approximation Theory 45, 375-382 (1985; Zbl 0617.41037)].

MSC:

41A28 Simultaneous approximation
41A36 Approximation by positive operators
41A30 Approximation by other special function classes
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