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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4174
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| 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 |
| Citation: | 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. |
| 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)
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