Extremal subspaces in the problem about widths of $$$H_{\omega}$$$ classes in the space of continuous functions of two variables
Abstract
In the paper, we have pointed out the conditions under which the subspaces of dimensionality $$$n^2$$$ ($$$n=2,3,\ldots$$$), extremal for $$$H_{\omega}$$$ classes of continuous functions of two variables, do not exist.
Full Text:
PDF (Русский)References
Tikhomirov V.M. "Set widths in functional spaces and theory of the best approximations", Uspekhi mat. nauk, 1960; 15(3): pp. 81-120. (in Russian) doi:10.1070/RM1960v015n03ABEH004093
Ruban V.I. "Extremal subspaces in the problem about widths of $$$H_{\omega}[a, b]$$$ classes in $$$C_{[a, b]}$$$ space", Anal. Mat., 1975; 1: pp. 131-139. (in Russian)
Tikhomirov V.M. Some problems of approximation theory, Izd-vo Moskovskogo un-ta, 1976. (in Russian)
Lorentz G.G. Approximation of functions, Holt, Rinehart and Winston, 1966.
DOI: https://doi.org/10.15421/247709
Refbacks
- There are currently no refbacks.
Copyright (c) 1977 L.B. Khodak
This work is licensed under a Creative Commons Attribution 4.0 International License.