This article is cited in 1 paper

On the approximation of periodic functions by $(C,\alpha)$ means

M. M. Lekishvili


Abstract: This paper considers the problem of obtaining the principal term in the deviations of periodic functions in the space $L_p([-\pi,\pi])$, $1\leqslant p\leqslant\infty$, from their Cesàro means of arbitrary order.
Bibliography: 7 titles.

UDC: 517.51

MSC: 42A10, 42A24

Received: 23.03.1982

 English version: Mathematics of the USSR-Sbornik, 1984, 49:2, 491–501

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