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

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

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Department of Mathematical Analysis

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DOI

https://doi.org/10.1016/j.jat.2019.105308
Final published version

Tatyana A. Alexeeva
Nikolay A. Shirokov

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.

Original language	English
Article number	105308
Number of pages	19
Journal	Journal of Approximation Theory
Volume	249
Early online date	23 Oct 2019
DOIs	https://doi.org/10.1016/j.jat.2019.105308
State	Published - Jan 2020

Scopus subject areas

Analysis
Applied Mathematics
Mathematics(all)
Numerical Analysis

Research areas

Chord-arc curves, Constructive description, Harmonic functions, Hölder classes, Holder classes, UNIFORM APPROXIMATION

ID: 48338388