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A positive linear operator for approximation in exponential weight spaces. (English) Zbl 1025.41012

Lupaş, Alexandru (ed.) et al., Mathematical analysis and approximation theory. Proceedings of the 5th Romanian-German seminar on approximation theory and its applications, RoGer, Sibiu, Romania, June 12-15, 2002. Sibiu: Burg Verlag. 85-96 (2002).
Summary: We introduce a positive linear operator in the space of continuous functions, having exponential growth at infinity. We investigate the order of approximation of a function \(f\) by means of the considered operators. The method was inspired by A. Jakimovski and D. Leviatan [Mathematica, Cluj 11(34), 97-103 (1969; Zbl 0188.36801)].
For the entire collection see [Zbl 1007.00036].

MSC:

41A35 Approximation by operators (in particular, by integral operators)

Citations:

Zbl 0188.36801
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