Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions

Tatyana A. Alexeeva, Nikolay A. Shirokov

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

We give a constructive description of Hölder-like classes of functions on chord-arc curves in R3 in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of those curve.

Язык оригиналаанглийский
Номер статьи105308
ЖурналJournal of Approximation Theory
Том249
Ранняя дата в режиме онлайн23 окт 2019
DOI
СостояниеЭлектронная публикация перед печатью - 23 окт 2019

Отпечаток

Harmonic functions
Harmonic Functions
Arc of a curve
Rate of Approximation
Curve
Shrinking
Chord or secant line
Class

Предметные области Scopus

  • Анализ
  • Численный анализ
  • Математика (все)
  • Прикладная математика

Цитировать

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abstract = "We give a constructive description of H{\"o}lder-like classes of functions on chord-arc curves in R3 in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of those curve.",
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Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions. / Alexeeva, Tatyana A.; Shirokov, Nikolay A.

В: Journal of Approximation Theory, Том 249, 105308, 01.2020.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions

AU - Alexeeva, Tatyana A.

AU - Shirokov, Nikolay A.

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Y1 - 2019/10/23

N2 - We give a constructive description of Hölder-like classes of functions on chord-arc curves in R3 in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of those curve.

AB - We give a constructive description of Hölder-like classes of functions on chord-arc curves in R3 in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of those curve.

KW - Chord-arc curves

KW - Constructive description

KW - Harmonic functions

KW - Hölder classes

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U2 - 10.1016/j.jat.2019.105308

DO - 10.1016/j.jat.2019.105308

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