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http://hdl.handle.net/10077/4174| Title: | On Polynomial Approximation of Entire Functions with Index-Pair (p, q) | Authors: | Kasana, H. S. Kumar, D. |
Keywords: | extremal polynomials; transfinite diameter; Lagrange interpolation polynomial; index-pair and proximate order | Issue Date: | 2003 | Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica | Source: | H. S. Kasana, D. Kumar, "On polynomial approximation of entire functions with index-pair (p, q)", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 49–59. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 35 (2003) |
Abstract: | In this paper we have studied interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E. The lower (p, q)-order and generalized lower (p, q)-type have been characterized in terms of these approximation errors. Finally, we have derived necessary conditions for f $ \in C(E)$ to be extended to an entire function of perfectly regular (p, q)-growth with respect to a proximate order. |
Type: | Article | URI: | http://hdl.handle.net/10077/4174 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| KasanaKumarRendMat35.pdf | 119.13 kB | Adobe PDF |  View/Open |
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