Polynomial approximation of polyharmonic functions on a complement of a John domain
- Autores: Vladimir V. Andrievskii
- Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 190, Nº 1, 2015, págs. 116-132
- Idioma: inglés
- DOI: 10.1016/j.jat.2014.04.011
- Enlaces
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Resumen
We prove a Jackson�Mergelyan type theorem on the uniform polynomial approximation of continuous polyharmonic functions on a set �without cusps on the boundary that point inside of the set�. We apply this theorem to derive a harmonic counterpart of a result by Mezhevich and Shirokov on the analytic polynomial approximation of continuous functions on a set consisting of two parallel segments.
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