IJPAM: Volume 45, No. 4 (2008)

POLYNOMIAL APPROXIMATION OF
FINITE ORDER ANALYTIC FUNCTION

D. Kumar$^1$, Harvir Kaur$^2$
$^{1,2}$Department of Mathematics
Research and Post Graduate Studies
M.M.H. College
Model Town, Ghaziabad, 201001, U.P., INDIA
e-mail: d_kumar001@rediffmail.com


Abstract.The aim of this paper is to find seequences $(f_n)_n$ of analytic functions which are the product of a polynomial of degree $\le n$ and an ``easy computable'' second factor and such that $(f_n)_n$ converges essentially faster to $f$ on a plane compact set $K$ then the sequence $\{p_n^*\}_n$ of best approximating polynomials of degree $\le n$. Here $K$ should be thought of as a finite disc or a real interval.

Received: March 5, 2008

AMS Subject Classification: 65B99, 30D10

Key Words and Phrases: transfinite diameter, faber polynomials, growth parameters

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 4