On approximation of analytic functions and generalized orders

Adam Janik

Annales Polonici Mathematici (1991)

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

Abstract

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

How to cite

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Adam 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

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  1. [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. [2] A. Janik, On approximation of entire functions and generalized orders, ibid., 321-326. Zbl0554.32014
  3. [3] O. P. Juneja and G. P. Kapoor, Analytic Functions--Growth Aspects, Res. Notes in Math. 104, Pitman, Boston 1985. Zbl0582.30001
  4. [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. [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. [6] J. Siciak, Extremal plurisubharmonic functions in ℂ N , in: Proc. First Finnish-Polish Summer School in Complex Analysis at Podlesice (Łódź 1977), University of Łódź, 115-152. 
  7. [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

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