In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.
@article{urn:eudml:doc:41190,
title = {On approximation and interpolation of entire functions with index-pair (p,q).},
journal = {Publicacions Matem\`atiques},
volume = {38},
year = {1994},
pages = {255-267},
mrnumber = {MR1316627},
zbl = {0831.30023},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41190}
}
Kasana, H. S.; Kumar, Devendra. On approximation and interpolation of entire functions with index-pair (p,q).. Publicacions Matemàtiques, Tome 38 (1994) pp. 255-267. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41190/