|
This article is cited in 3 scientific papers (total in 3 papers)
Lower estimates of the widths of the classes of functions defined by a modulus of continuity
V. T. Shevaldin
Abstract:
For kernels $K$ satisfying the condition $B_{2m}$ introduced by the author, lower bounds are found for the Kolmogorov widths of classes of convolutions $K\ast H^\omega$, $\omega$ convex, in the uniform metric. In a number of cases these bounds are sharp.
Received: 23.07.1992
Citation:
V. T. Shevaldin, “Lower estimates of the widths of the classes of functions defined by a modulus of continuity”, Izv. RAN. Ser. Mat., 58:5 (1994), 172–188; Russian Acad. Sci. Izv. Math., 45:2 (1995), 399–415
Linking options:
https://www.mathnet.ru/eng/im765https://doi.org/10.1070/IM1995v045n02ABEH001648 https://www.mathnet.ru/eng/im/v58/i5/p172
|
Statistics & downloads: |
Abstract page: | 376 | Russian version PDF: | 121 | English version PDF: | 13 | References: | 62 | First page: | 1 |
|