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Approximation by Entire Functions on Unbounded Domains in Cn

โœ Scribed by A. Russakovskii

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
192 KB
Volume
74
Category
Article
ISSN
0021-9045

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โœฆ Synopsis

Given a function analytic in an unbounded domain of (\mathbb{C}^{n}) with certain estimates of growth, we construct an entire function approximating it with a certain rate in some inner domain and give estimates of growth of the approximating function. This extends well-known results of M. V. Keldysh to several variables and more general domains. 1993 Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

On the Distribution of Alternation Point
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โœ Wolfgang Gehlen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 255 KB

We consider the distribution of alternation points in best real polynomial approximation of a function f # C[&1, 1]. For entire functions f we look for structural properties of f that will imply asymptotic equidistribution of the corresponding alternation points.