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Mean-Square "Angle" Approximation in the L2 Metric and the Values of Quasiwidths for Some Classes of Functions.
- Source :
- Ukrainian Mathematical Journal; Nov2020, Vol. 72 Issue 6, p990-1004, 15p
- Publication Year :
- 2020
-
Abstract
- In the metric L<subscript>2</subscript>, we establish exact inequalities, which relate the best approximations by trigonometric "angles" for the functions f(x, y) differentiable and 2𝜋-periodic in each variable to the integrals containing the moduli of continuity of higher order for mixed derivatives of these functions. For some classes of functions defined by the moduli of continuity, we determine the Kolmogorov and linear quasiwidths. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00415995
- Volume :
- 72
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Ukrainian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 147159849
- Full Text :
- https://doi.org/10.1007/s11253-020-01837-3