Best approximations and widths of classes of periodic functions of several variables
Journal Article
·
· Sbornik. Mathematics
- Institute of Mathematics of Ukrainian National Academy of Sciences, Kiev (Ukraine)
Order estimates are obtained for the best approximations of the Besov classes B{sub p,{theta}}{sup r} of periodic functions of several variables in the spaces L{sub 1} and L{sub {infinity}} by trigonometric polynomials whose harmonic indices lie in step hyperbolic crosses. The orders of the orthoprojection widths of the classes B{sub p,{theta}}{sup r} and the linear widths of the classes B{sub p,{theta}}{sup r} and W{sub p,{alpha}}{sup r} in the space L{sub 1} are found. Bibliography: 22 titles.
- OSTI ID:
- 21096808
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 2 Vol. 199; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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