This article is cited in 17 papers

Direct and converse theorems of the theory of approximation in the metric of $L_p$ for $0<p<1$

V. I. Ivanov

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Abstract: A direct theorem of the Jackson type and several converse theorems are established for the approximation of periodic functions of period $2\pi$ by trigonometrical polynomials in the metric of $L_p$, $0<p<1$.

UDC: 517.51

Received: 18.06.1975

 English version: Mathematical Notes, 1975, 18:5, 972–982

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