Standard

Constructive description of function classes on surfaces in R^3 and R^4. / Alexeeva, T.A.; Shirokov, N.A.

In: Issues of Analysis, Vol. 8(26), No. 3, 2019, p. 16-23.

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

Harvard

Alexeeva, TA & Shirokov, NA 2019, 'Constructive description of function classes on surfaces in R^3 and R^4', Issues of Analysis, vol. 8(26), no. 3, pp. 16-23. https://doi.org/10.15393/j3.art.2019.6890

APA

Alexeeva, T. A., & Shirokov, N. A. (2019). Constructive description of function classes on surfaces in R^3 and R^4. Issues of Analysis, 8(26)(3), 16-23. https://doi.org/10.15393/j3.art.2019.6890

Vancouver

Alexeeva TA, Shirokov NA. Constructive description of function classes on surfaces in R^3 and R^4. Issues of Analysis. 2019;8(26)(3):16-23. https://doi.org/10.15393/j3.art.2019.6890

Author

Alexeeva, T.A. ; Shirokov, N.A. / Constructive description of function classes on surfaces in R^3 and R^4. In: Issues of Analysis. 2019 ; Vol. 8(26), No. 3. pp. 16-23.

BibTeX

@article{0b8e2d88a871443ea5bab9045120eb29,
title = "Constructive description of function classes on surfaces in R^3 and R^4",
abstract = "Functional classes on a curve in a plane (a partial case of a spatial curve) can be described by the approximation speed by functions that are harmonic in three-dimensional neighbourhoods of the curve. No constructive description of functional classes on rather general surfaces in R 3 and R 4 has been presented in literature so far. The main result of the paper is Theorem 1. ",
keywords = "Constructive description, Harmonic functions, Pseudoharmonic functions, rational functions",
author = "T.A. Alexeeva and N.A. Shirokov",
year = "2019",
doi = "10.15393/j3.art.2019.6890",
language = "English",
volume = "8(26)",
pages = "16--23",
journal = "Issues of Analysis",
number = "3",

}

RIS

TY - JOUR

T1 - Constructive description of function classes on surfaces in R^3 and R^4

AU - Alexeeva, T.A.

AU - Shirokov, N.A.

PY - 2019

Y1 - 2019

N2 - Functional classes on a curve in a plane (a partial case of a spatial curve) can be described by the approximation speed by functions that are harmonic in three-dimensional neighbourhoods of the curve. No constructive description of functional classes on rather general surfaces in R 3 and R 4 has been presented in literature so far. The main result of the paper is Theorem 1.

AB - Functional classes on a curve in a plane (a partial case of a spatial curve) can be described by the approximation speed by functions that are harmonic in three-dimensional neighbourhoods of the curve. No constructive description of functional classes on rather general surfaces in R 3 and R 4 has been presented in literature so far. The main result of the paper is Theorem 1.

KW - Constructive description

KW - Harmonic functions

KW - Pseudoharmonic functions

KW - rational functions

UR - http://www.scopus.com/inward/record.url?scp=85077180969&partnerID=8YFLogxK

U2 - 10.15393/j3.art.2019.6890

DO - 10.15393/j3.art.2019.6890

M3 - Article

VL - 8(26)

SP - 16

EP - 23

JO - Issues of Analysis

JF - Issues of Analysis

IS - 3

ER -

ID: 48791501