This article is cited in 21 papers

On families of linear polynomial operators in $L_p$-spaces, $0<p<1$

K. V. Runovskii

T. H. Shevchenko Chernihiv State Pedagogical Institute

Abstract: Questions of approximation of periodic functions in $L_p$-spaces for $0<p<1$ by certain families of linear polynomial operators are studied. Some applications are given for the method developed.

UDC: 517.51

MSC: Primary 41A35; Secondary 46E30

Received: 02.10.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 78:1, 165–173

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