### On relative widths of classes of multivariable functions that are defined as a convolution

#### Abstract

#### Full Text:

PDF (Русский)#### References

Babenko V.F. "On the best uniform approximations by splines under the constraints on their derivatives", *Matem. zametki*, 1991; 50(6): pp. 24-30. (in Russian) doi:10.1007/BF01158262

Babenko V.F. "On the best $$$L_1$$$-approximations by splines under the constraints on their derivatives", *Matem. zametki*, 1992; 51(5): pp. 12-19. (in Russian) doi:10.1007/BF01262172

Babenko V.F. "Mean approximations under constraints for derivatives of approximating functions", *Vopr. analiza i priblizh.*, 1989; pp. 9-18. (in Russian)

Babenko V.F. "On the relative widths of classes of functions with bounded mixed derivative", *East J. Approx.*, 1996; 2(3).

Babenko V.F., Azar L.E. "On relative widths of classes of multivariable functions that are defined by fractional derivatives", *Sborn. nauch. trudov. Dnepropetr.*, 1998; pp. 96-103. (in Russian)

Babenko K.I. "On approximation of periodic multivariable functions by trigonometric polynomials", *Dokl. AN SSSR*, 1960; 132(2): pp. 247-250. (in Russian)

Dzyadyk V.K. *Introduction to the theory of uniform approximation of functions by polynomials*, 1977. (in Russian)

Kolmogorov A.N. "On the best approximation of functions from given class of functions", *Matematika i mekhanika. Izbr. trudy*, Nauka, Moscow, 1985; pp. 186-189. (in Russian)

Konovalov V.N. "Estimates of widths of Kolmogorov type for classes of differentiable functions", *Matem. zametki*, 1984; 35(3): pp. 369-380. (in Russian) doi:10.1007/BF01139916

Korneichuk N.P. *Exact constants in approximation theory*, Nauka, 1987. (in Russian)

Mitiagin B.S. "Approximation of functions in $$$L_p$$$ and $$$C$$$ spaces on torus", *Matem. sbornik*, 1962; 58(3): pp. 397-414. (in Russian)

Temlyakov V.N. "Approximation of functions with bounded mixed derivative", *Trudy MIAN SSSR*, 1986; 178: pp. 3-112. (in Russian)

Tikhomirov V.M. *Some problems of approximation theory*, Izd-vo Moskovskogo un-ta, 1976. (in Russian)

DOI: https://doi.org/10.15421/249801

### Refbacks

- There are currently no refbacks.

Copyright (c) 1998 L. Azar

This work is licensed under a Creative Commons Attribution 4.0 International License.