RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1971 Volume 10, Issue 6, Pages 627–634 (Mi mzm9741)
This article is cited in 1 paper

Relation between approximations in the mean for analytic and for harmonic functions

F. S. Lisin

New Moscow Department of the Moscow Chemical Technological Institute

Abstract: It is shown that the completeness of the analytic polynomials always follows from the completeness of the harmonic polynomials in the case of mean-square weighted approximation over a bounded region.

UDC: 517.5

Received: 30.03.1970


 English version: Mathematical Notes, 1971, 10:6, 807–811

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024