IJPAM: Volume 45, No. 4 (2008)
POLYNOMIAL APPROXIMATION OF
FINITE ORDER ANALYTIC FUNCTION
FINITE ORDER ANALYTIC FUNCTION
D. Kumar
, Harvir Kaur
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



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 of analytic functions which are the product of a polynomial of degree
and an ``easy computable'' second factor and such that
converges essentially faster to
on a plane compact set
then the sequence
of best approximating polynomials of degree
. Here
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