Mathematics

On Cesaro means of Fourier series with respect to multiplicative systems

V. A. Skvortsov


Abstract: Some estimates are given for the approximations of functions $f\in\operatorname{Lip}(\alpha,p)$, $0<\alpha\le1$, $1\le p\le\infty$, by $(C,\beta)$-means of the partial sums of their Fourier series with respect to multiplicative orthogonal systems.

UDC: 517.52

Received: 16.01.1981

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