Approximation of entire functions of slow growth on compact sets
Archivum mathematicum, Tome 45 (2009) no. 2, pp. 137-146
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of approximation and interpolation errors.
In the present paper, we study the polynomial approximation of entire functions of several complex variables. The characterizations of generalized order and generalized type of entire functions of slow growth have been obtained in terms of approximation and interpolation errors.
Classification :
30B10, 30D20, 32A15, 32A22, 32E30, 32K05
Keywords: entire function; Siciak extremal function; generalized order; generalized type; approximation errors; interpolation errors
Keywords: entire function; Siciak extremal function; generalized order; generalized type; approximation errors; interpolation errors
@article{ARM_2009_45_2_a6,
author = {Srivastava, G. S. and Kumar, Susheel},
title = {Approximation of entire functions of slow growth on compact sets},
journal = {Archivum mathematicum},
pages = {137--146},
year = {2009},
volume = {45},
number = {2},
mrnumber = {2591670},
zbl = {1212.30002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2009_45_2_a6/}
}
Srivastava, G. S.; Kumar, Susheel. Approximation of entire functions of slow growth on compact sets. Archivum mathematicum, Tome 45 (2009) no. 2, pp. 137-146. http://geodesic.mathdoc.fr/item/ARM_2009_45_2_a6/