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Constructive Description of H{\"o}lder-like Classes on an Arc in $\mathbb{R}^3$ by Means of Harmonic Functions

Journal of Approximation Theory. 2020. Vol. 249. Article 105308.
Tatyana A. Alexeeva, Nikolay A. Shirokov

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 R3 and R4 has been presented in literature
so far. The main result of the paper is Theorem 1.

Research target: Mathematics
Priority areas: mathematics
Language: English
Full text
DOI
Text on another site
Keywords: harmonic functions rational functionspseudoharmonic functionsconstructive description
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