On cm-approximability of functions by polynomial solutions of elliptic equations on plane compact sets

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On c^m-approximability of functions by polynomial solutions of elliptic equations on plane compact sets. / Fedorovskǐ, K. Yu.

In: St. Petersburg Mathematical Journal, Vol. 24, No. 4, 2013, p. 677-689.

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

BibTeX

@article{bc5511316885475b9d8e35792a1a8807,

title = "On cm-approximability of functions by polynomial solutions of elliptic equations on plane compact sets",

abstract = "Conditions of Cm.-approximability of functions by polynomial solutions of homogeneous elliptic equations of order n on plane compact sets are studied. For positive integers m and n such that m ≥ n - 1, new necessary and sufficient approximability conditions of a topological and metrical nature are obtained.",

keywords = "C-approximation, Homogeneous elliptic operator, L-analytic function, L-analytic polynomial, Localization operator",

author = "Fedorovskǐ, {K. Yu}",

year = "2013",

doi = "10.1090/S1061-0022-2013-01260-X",

language = "English",

volume = "24",

pages = "677--689",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "4",

}

RIS

TY - JOUR

T1 - On cm-approximability of functions by polynomial solutions of elliptic equations on plane compact sets

AU - Fedorovskǐ, K. Yu

PY - 2013

Y1 - 2013

N2 - Conditions of Cm.-approximability of functions by polynomial solutions of homogeneous elliptic equations of order n on plane compact sets are studied. For positive integers m and n such that m ≥ n - 1, new necessary and sufficient approximability conditions of a topological and metrical nature are obtained.

AB - Conditions of Cm.-approximability of functions by polynomial solutions of homogeneous elliptic equations of order n on plane compact sets are studied. For positive integers m and n such that m ≥ n - 1, new necessary and sufficient approximability conditions of a topological and metrical nature are obtained.

KW - C-approximation

KW - Homogeneous elliptic operator

KW - L-analytic function

KW - L-analytic polynomial

KW - Localization operator

UR - http://www.scopus.com/inward/record.url?scp=84878627841&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-2013-01260-X

DO - 10.1090/S1061-0022-2013-01260-X

M3 - Article

AN - SCOPUS:84878627841

VL - 24

SP - 677

EP - 689

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 86669546