Standard

Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ. / Fedorovskii, K. Yu.

In: Mathematical Notes, Vol. 59, No. 4, 1996, p. 435-439.

Research output: Contribution to journal › Article › peer-review

Harvard

Fedorovskii, KY 1996, 'Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ', Mathematical Notes, vol. 59, no. 4, pp. 435-439. https://doi.org/10.1007/bf02308692

APA

Fedorovskii, K. Y. (1996). Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ. Mathematical Notes, 59(4), 435-439. https://doi.org/10.1007/bf02308692

Vancouver

Fedorovskii KY. Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ. Mathematical Notes. 1996;59(4):435-439. https://doi.org/10.1007/bf02308692

Author

Fedorovskii, K. Yu. / Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ. In: Mathematical Notes. 1996 ; Vol. 59, No. 4. pp. 435-439.

BibTeX

@article{75032fb96d37463a91dba6b0b252bfde,
title = "Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ",
abstract = "We study approximations of functions by n-analytic polynomials in the uniform norm on closed rectifiable Jordan curves in the complex plane. It is shown that, in contrast to the case of uniform approximations by complex polynomials, there are no topological criteria for the existence of such approximations. We obtain a criterion for the existence of n-analytic polynomial approximations in terms of analytic properties of these curves.",
author = "Fedorovskii, {K. Yu}",
year = "1996",
doi = "10.1007/bf02308692",
language = "English",
volume = "59",
pages = "435--439",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Uniform n-analytic polynomial approximations of functions on rectifiable contours in ℂ

AU - Fedorovskii, K. Yu

PY - 1996

Y1 - 1996

N2 - We study approximations of functions by n-analytic polynomials in the uniform norm on closed rectifiable Jordan curves in the complex plane. It is shown that, in contrast to the case of uniform approximations by complex polynomials, there are no topological criteria for the existence of such approximations. We obtain a criterion for the existence of n-analytic polynomial approximations in terms of analytic properties of these curves.

AB - We study approximations of functions by n-analytic polynomials in the uniform norm on closed rectifiable Jordan curves in the complex plane. It is shown that, in contrast to the case of uniform approximations by complex polynomials, there are no topological criteria for the existence of such approximations. We obtain a criterion for the existence of n-analytic polynomial approximations in terms of analytic properties of these curves.

UR - http://www.scopus.com/inward/record.url?scp=27644525343&partnerID=8YFLogxK

U2 - 10.1007/bf02308692

DO - 10.1007/bf02308692

M3 - Article

AN - SCOPUS:27644525343

VL - 59

SP - 435

EP - 439

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 4

ER -

ID: 86670127