Please use this identifier to cite or link to this item: 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 polynomialstransfinite diameterLagrange interpolation polynomialindex-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 Mathematics35 (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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