# On approximation of analytic functions and generalized orders

Annales Polonici Mathematici (1991)

- Volume: 55, Issue: 1, page 163-167
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topAdam Janik. "On approximation of analytic functions and generalized orders." Annales Polonici Mathematici 55.1 (1991): 163-167. <http://eudml.org/doc/262390>.

@article{AdamJanik1991,

abstract = {A characterization of a generalized order of analytic functions of several complex variables by means of polynomial approximation and interpolation is established.},

author = {Adam Janik},

journal = {Annales Polonici Mathematici},

keywords = {analytic function; order; polynomial approximation; interpolation},

language = {eng},

number = {1},

pages = {163-167},

title = {On approximation of analytic functions and generalized orders},

url = {http://eudml.org/doc/262390},

volume = {55},

year = {1991},

}

TY - JOUR

AU - Adam Janik

TI - On approximation of analytic functions and generalized orders

JO - Annales Polonici Mathematici

PY - 1991

VL - 55

IS - 1

SP - 163

EP - 167

AB - A characterization of a generalized order of analytic functions of several complex variables by means of polynomial approximation and interpolation is established.

LA - eng

KW - analytic function; order; polynomial approximation; interpolation

UR - http://eudml.org/doc/262390

ER -

## References

top- [1] A. Janik, A characterization of the growth of analytic functions by means of polynomial approximation, Univ. Iagel. Acta Math. 24 (1984), 295-319. Zbl0554.32015
- [2] A. Janik, On approximation of entire functions and generalized orders, ibid., 321-326. Zbl0554.32014
- [3] O. P. Juneja and G. P. Kapoor, Analytic Functions--Growth Aspects, Res. Notes in Math. 104, Pitman, Boston 1985. Zbl0582.30001
- [4] M. N. Sheremeta, On the connection between the growth of a function analytic in a disc and moduli of the coefficients of its Taylor series, Visnik L'viv. Derzh. Univ. Ser. Mekh.-Mat. 2 (1965), 101-110 (in Ukrainian).
- [5] J. Siciak, On some extremal functions and their applications in the theory of analytic functions of several complex variables, Trans. Amer. Math. Soc. 105 (1962), 322-357. Zbl0111.08102
- [6] J. Siciak, Extremal plurisubharmonic functions in ${\u2102}^{N}$, in: Proc. First Finnish-Polish Summer School in Complex Analysis at Podlesice (Łódź 1977), University of Łódź, 115-152.
- [7] T. Winiarski, Application of approximation and interpolation methods to the examination of entire functions of n complex variables, Ann. Polon. Math. 28 (1973), 97-121. Zbl0257.32008

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.