This article is cited in 8 papers

Inequalities for differentiable periodic functions and best approximation of one class of functions by another

N. P. Korneichuk


Abstract: New results are obtained in this paper which elucidate properties of differentiable periodic functions connected with rearrangements. These results are applied in order to obtain a sharp estimate of the best uniform approximation of functions of the class $W^rH_\omega$ by functions of the class $W^{r+1}K$.

UDC: 517.5

MSC: 41A30, 42A04

Received: 19.08.1971

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:2, 417–428

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