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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.

In: Journal of Approximation Theory, Vol. 249, 105308, 01.2020.

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

Harvard

Alexeeva, TA & Shirokov, NA 2020, 'Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions', Journal of Approximation Theory, vol. 249, 105308. https://doi.org/10.1016/j.jat.2019.105308

APA

Alexeeva, T. A., & Shirokov, N. A. (2020). Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions. Journal of Approximation Theory, 249, [105308]. https://doi.org/10.1016/j.jat.2019.105308

Vancouver

Alexeeva TA, Shirokov NA. Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions. Journal of Approximation Theory. 2020 Jan;249. 105308. https://doi.org/10.1016/j.jat.2019.105308

Author

Alexeeva, Tatyana A. ; Shirokov, Nikolay A. / Constructive description of Hölder-like classes on an arc in R3 by means of harmonic functions. In: Journal of Approximation Theory. 2020 ; Vol. 249.

BibTeX

@article{83f79e2081eb471399d4e04b69fc4ab3,
title = "Constructive description of H{\"o}lder-like classes on an arc in R3 by means of harmonic functions",
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.",
keywords = "Chord-arc curves, Constructive description, Harmonic functions, H{\"o}lder classes, Holder classes, UNIFORM APPROXIMATION",
author = "Alexeeva, {Tatyana A.} and Shirokov, {Nikolay A.}",
year = "2020",
month = jan,
doi = "10.1016/j.jat.2019.105308",
language = "English",
volume = "249",
journal = "Journal of Approximation Theory",
issn = "0021-9045",
publisher = "Elsevier",

}

RIS

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.

PY - 2020/1

Y1 - 2020/1

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

KW - Holder classes

KW - UNIFORM APPROXIMATION

UR - http://www.scopus.com/inward/record.url?scp=85074151488&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b83ab816-c030-3cdb-97ba-1ceb8c59228e/

U2 - 10.1016/j.jat.2019.105308

DO - 10.1016/j.jat.2019.105308

M3 - Article

AN - SCOPUS:85074151488

VL - 249

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

SN - 0021-9045

M1 - 105308

ER -

ID: 48338388