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On Polynomial Approximation of Entire Functions with Index-Pair (p, q)

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KasanaKumarRendMat35.pdf(119.13 KB)
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2003
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Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
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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.
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extremal polynomials, transfinite diameter, Lagrange interpolation polynomial, index-pair and proximate order
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.
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http://hdl.handle.net/10077/4174
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Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003)