2017
Том 69
№ 9

All Issues

Kolmogorov widths and entropy numbers in the Orlich spaces with the Luxembourg norm

Romanyuk V. S.


Abstract

We obtain the exact-order estimates of the Kolmogorov widths and entropy numbers of unit balls from the binary Besov spaces \$\mathrm{d}\mathrm{y}\mathrm{a}\mathrm{d} B^{0,\gamma}_{ p,\theta}$ compactly embedded in the exponential Orlich $\mathrm{e}\mathrm{x}\mathrm{p} L^{\nu}$ spaces equipped with the Luxembourg norm.

Citation Example: Romanyuk V. S. Kolmogorov widths and entropy numbers in the Orlich spaces with the Luxembourg norm // Ukr. Mat. Zh. - 2017. - 69, № 5. - pp. 682-694.