K. Yu. Fedorovskiy, “Uniform $n$-analytic polynomial approximations of functions on rectifiable contours in $\mathbb C$”, Mat. Zametki, 59:4 (1996), 604–610; Math. Notes, 59:4 (1996), 435

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 1996, Volume 59, Issue 4, Pages 604–610
DOI: https://doi.org/10.4213/mzm1753 (Mi mzm1753)

This article is cited in 35 scientific papers (total in 35 papers)

Uniform

$n$ -analytic polynomial approximations of functions on rectifiable contours in

$\mathbb C$

K. Yu. Fedorovskiy

M. V. Lomonosov Moscow State University

Full-text PDF (172 kB) Citations (35)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm1753

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.

Received: 13.10.1995

English version:
Mathematical Notes, 1996, Volume 59, Issue 4, Pages 435–439
DOI: https://doi.org/10.1007/BF02308692

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: K. Yu. Fedorovskiy, “Uniform

$n$ -analytic polynomial approximations of functions on rectifiable contours in

$\mathbb C$ ”, Mat. Zametki, 59:4 (1996), 604–610; Math. Notes, 59:4 (1996), 435–439

Citation in format AMSBIB

\Bibitem{Fed96}

\by K.~Yu.~Fedorovskiy

\paper Uniform $n$-analytic polynomial approximations of functions on rectifiable contours in $\mathbb C$

\jour Mat. Zametki

\yr 1996

\vol 59

\issue 4

\pages 604--610

\mathnet{http://mi.mathnet.ru/mzm1753}

\crossref{https://doi.org/10.4213/mzm1753}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1445202}

\zmath{https://zbmath.org/?q=an:0879.30021}

\transl

\jour Math. Notes

\yr 1996

\vol 59

\issue 4

\pages 435--439

\crossref{https://doi.org/10.1007/BF02308692}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VD93600033}

Linking options:

https://www.mathnet.ru/eng/mzm1753

https://doi.org/10.4213/mzm1753

https://www.mathnet.ru/eng/mzm/v59/i4/p604

This publication is cited in the following 35 articles:

Astamur Bagapsh, Konstantin Fedorovskiy, Maksim Mazalov, “On Dirichlet problem and uniform approximation by solutions of second-order elliptic systems in R2”, Journal of Mathematical Analysis and Applications, 531:1 (2024), 127896
M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Criteria for $C^m$-approximability of functions by solutions of homogeneous second-order elliptic equations on compact subsets of $\mathbb{R}^N$ and related capacities”, Russian Math. Surveys, 79:5 (2024), 847–917
Konstantin Fedorovskiy, Fields Institute Communications, 87, Function Spaces, Theory and Applications, 2023, 207
K. Fedorovskiy, “Uniform Approximation by Polynomial Solutions of Elliptic Systems on Boundaries of Carathéodory Domains in $\boldsymbol{\mathbb{R}}^{\mathbf{2}}$”, Lobachevskii J Math, 44:4 (2023), 1299
St. Petersburg Math. J., 34:3 (2023), 497–514
Binesh Thankappan, Gaetano Luciano, “Stable and Holomorphic Implementation of Complex Functions Using a Unit Circle-Based Transform”, Journal of Mathematics, 2021 (2021), 1
Belov Yu. Borichev A. Fedorovskiy K., “Nevanlinna Domains With Large Boundaries”, J. Funct. Anal., 277:8 (2019), 2617–2643
Yu. S. Belov, K. Yu. Fedorovskiy, “Model spaces containing univalent functions”, Russian Math. Surveys, 73:1 (2018), 172–174
Fedorovskiy K.Yu., “Two Problems on Approximation By Solutions of Elliptic Systems on Compact Sets in the Plane”, Complex Var. Elliptic Equ., 63:7-8, SI (2018), 961–975
M. Ya. Mazalov, “On Nevanlinna domains with fractal boundaries”, St. Petersburg Math. J., 29:5 (2018), 777–791
Baranov A.D., Fedorovskiy K.Yu., “On l (1)-Estimates of Derivatives of Univalent Rational Functions”, J. Anal. Math., 132 (2017), 63–80
K. Yu. Fedorovskiy, “On the density of certain modules of polyanalytic type in spaces of integrable functions on the boundaries of simply connected domains”, Sb. Math., 207:1 (2016), 140–154
E. V. Borovik, K. Yu. Fedorovskiy, “On the Relationship Between Nevanlinna and Quadrature Domains”, Math. Notes, 99:3 (2016), 460–464
Baranov A.D., Carmona J.J., Fedorovskiy K.Yu., “Density of certain polynomial modules”, J. Approx. Theory, 206:SI (2016), 1–16
K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174
M. Ya. Mazalov, “An example of a non-rectifiable Nevanlinna contour”, St. Petersburg Math. J., 27:4 (2016), 625–630
M. Ya. Mazalov, P. V. Paramonov, K. Yu. Fedorovskiy, “Conditions for $C^m$-approximability of functions by solutions of elliptic equations”, Russian Math. Surveys, 67:6 (2012), 1023–1068
Proc. Steklov Inst. Math., 279 (2012), 215–229
Fedorovskiy K.Yu., “Uniform and C-M-Approximation by Polyanalytic Polynomials”, Complex Analysis and Potential Theory, CRM Proceedings & Lecture Notes, 55, ed. Boivin A. Mashreghi J., Amer Mathematical Soc, 2012, 323–329
A. D. Baranov, K. Yu. Fedorovskiy, “Boundary regularity of Nevanlinna domains and univalent functions in model subspaces”, Sb. Math., 202:12 (2011), 1723–1740

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	625
Full-text PDF :	245
References:	113
First page:	3

Что такое QR-код?

Registration to the website

Logotypes