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

T.A. Alexeeva, N.A. Shirokov

Research output

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.

Original languageEnglish
Pages (from-to)16-23
JournalIssues of Analysis
Volume8(26)
Issue number3
DOIs
Publication statusPublished - 2019

Fingerprint

Curve
Harmonic
Partial
Three-dimensional
Approximation
Theorem
Class

Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

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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.",
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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

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