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Zbl 1155.41008
Guessab, Allal; Schmeisser, Gerhard
Two Korovkin-type theorems in multivariate approximation. (English)
[J] Banach J. Math. Anal. 2, No. 2, 121-128, electronic only (2008). ISSN 1735-8787/e

Two Korovkin-type theorems [{\it F. Altomare} and {\it M. Campiti}, Korovkin-type Approximation Theory and its applications. de Gruyter Studies in Mathematics. 17. (Berlin): Walter de Gruyter. (1994; Zbl 0924.41001)] in multivariate approximation in which the limit of the sequence of operators is not necessarily the identity have been proved. One of these is an analogue of a result proved in {\it H. Wang} [J. Approximation Theory 132, No. 2, 258--264 (2005; Zbl 1118.41015)].
[H. P. Dikshit (Bhopal)]

MSC 2000:: *41A55 Approximate quadratures
41A80 Remainders in approximation formulas

Keywords: Korovkin-type theorems; Positive linear operators; Convexity

Citations: Zbl 0924.41001; Zbl 1118.41015

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