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Free interpolation in the spaces. / Shirokov, N. A.

In: Mathematics of the USSR - Sbornik, Vol. 45, No. 3, 30.04.1983, p. 337-358.

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

Harvard

Shirokov, NA 1983, 'Free interpolation in the spaces', Mathematics of the USSR - Sbornik, vol. 45, no. 3, pp. 337-358. https://doi.org/10.1070/SM1983v045n03ABEH001011

APA

Shirokov, N. A. (1983). Free interpolation in the spaces. Mathematics of the USSR - Sbornik, 45(3), 337-358. https://doi.org/10.1070/SM1983v045n03ABEH001011

Vancouver

Shirokov NA. Free interpolation in the spaces. Mathematics of the USSR - Sbornik. 1983 Apr 30;45(3):337-358. https://doi.org/10.1070/SM1983v045n03ABEH001011

Author

Shirokov, N. A. / Free interpolation in the spaces. In: Mathematics of the USSR - Sbornik. 1983 ; Vol. 45, No. 3. pp. 337-358.

BibTeX

@article{ada8416f007b488b9687e80d4b1d336d,
title = "Free interpolation in the spaces",
abstract = "Let the integer and the modulus of continuity be fixed, and let be the class of all functions continuous on the closed unit disk, analytic on its interior, and having an -continuous th derivative on. Consider for each and each fixed the polynomial in (the st partial sum of the Taylor series of in a neighborhood of). Then for any two points (1.1)Let be a closed subset of. This article contains a solution of the problem of free interpolation in, formulated as follows: Find necessary and sufficient conditions on such that for each collection of th-degree polynomials satisfying conditions of the type (1.1) for all there is a function with. Bibliography: 13 titles.",
author = "Shirokov, {N. A.}",
year = "1983",
month = apr,
day = "30",
doi = "10.1070/SM1983v045n03ABEH001011",
language = "English",
volume = "45",
pages = "337--358",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "3",

}

RIS

TY - JOUR

T1 - Free interpolation in the spaces

AU - Shirokov, N. A.

PY - 1983/4/30

Y1 - 1983/4/30

N2 - Let the integer and the modulus of continuity be fixed, and let be the class of all functions continuous on the closed unit disk, analytic on its interior, and having an -continuous th derivative on. Consider for each and each fixed the polynomial in (the st partial sum of the Taylor series of in a neighborhood of). Then for any two points (1.1)Let be a closed subset of. This article contains a solution of the problem of free interpolation in, formulated as follows: Find necessary and sufficient conditions on such that for each collection of th-degree polynomials satisfying conditions of the type (1.1) for all there is a function with. Bibliography: 13 titles.

AB - Let the integer and the modulus of continuity be fixed, and let be the class of all functions continuous on the closed unit disk, analytic on its interior, and having an -continuous th derivative on. Consider for each and each fixed the polynomial in (the st partial sum of the Taylor series of in a neighborhood of). Then for any two points (1.1)Let be a closed subset of. This article contains a solution of the problem of free interpolation in, formulated as follows: Find necessary and sufficient conditions on such that for each collection of th-degree polynomials satisfying conditions of the type (1.1) for all there is a function with. Bibliography: 13 titles.

UR - http://www.scopus.com/inward/record.url?scp=84956099385&partnerID=8YFLogxK

U2 - 10.1070/SM1983v045n03ABEH001011

DO - 10.1070/SM1983v045n03ABEH001011

M3 - Article

AN - SCOPUS:84956099385

VL - 45

SP - 337

EP - 358

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 3

ER -

ID: 86664668