### The best polynomial approximations of some classes of analytic functions in the Hardy spaces

#### Abstract

#### Keywords

#### Full Text:

PDF (Українська)#### References

Pinkus A. *n-Widths in approximation theory*, Springer-Verlag, Berlin, 1985; 290 p.

Babenko K.I. "On the best approximations of one class of analytic functions", *Izv. AN SSSR. Ser. Matem.*, 1958; 22(5): pp. 631-640. (in Russian)

Taikov L.V. "On the best linear methods of approximation of functions of classes $$$B^r$$$ and $$$H^r$$$, *Usp. matem. nauk*, 1963; 18(4): pp. 183-189. (in Russian)

Dvejrin M.Z., Chebanenko I.V. "On polynomial approximation in Banach spaces of analytic functions", *Sbor. nauch. trud. in-ta prikl. matem. i mekh. AN USSR*, Kiev, Naukova dumka, 1983; pp. 62-73. (in Russian)

Taikov L.V. "On the best mean approximation of certain classes of analytical functions", *Matem. zametki*, 1967; 1(2): pp. 155-162. (in Russian) doi:10.1007/BF01268058

Taikov L.V. "Widths of some classes of analytical functions", *Matem. zametki*, 1977; 22(2): pp. 285-295. (in Russian) doi:10.1007/BF01780976

Ajnulloev N. "Widths of classes of analytical functions in unit circle", *Sbor. trudov "Geometrical problems of function and set theory"*, Kalinin, Kalinin. State Univ., 1986; pp. 91-101. (in Russian)

Vakarchuk S.B. "On widths of some classes of functions, analytical in the unit circle", *Ukrainian Math. J.*, 1990; 42(8): pp. 1019-1026. (in Russian) doi:10.1007/BF01062078

Vakarchuk S.B. "On the best linear methods of approximation and widths of some classes of analytical functions", *Matem. zametki*, 1999; 65(2): pp. 186-193. (in Russian) doi:10.1007/BF02679811

Vakarchuk S.B. "On some extremal problems of approximation theory on a complex plane", *Ukrainian Math. J.*, 2004; 56(9): pp. 1155-1171. (in Russian) doi:10.1007/s11253-005-0122-x

Vakarchuk S.B. "Exact widths of classes of functions being analytical in the disk and the best linear methods of approximation", *Matem. zametki*, 2002; 72(5): pp. 665-669. (in Russian)

Vakarchuk S.B., Shabozov M.Sh. "On widths of classes of functions, being analytic in the disk", *Matem. sbornik*, 2010; 201(8): pp. 3-22. (in Russian) doi:10.1070/SM2010v201n08ABEH004104

Vakarchuk S.B., Zabutna V.I. "On the best linear methods of approximation and widths of classes of functions being analytic in the disk", *Proc. Conf. on modern analysis* (20-23.06.2011, Donetsk Nat. Univ., Donetsk, Ukraine); p. 51. (in Russian)

DOI: https://doi.org/10.15421/241802

### Refbacks

- There are currently no refbacks.

Copyright (c) 2018 S.B. Vakarchuk, V.I. Zabutna, M.B. Vakarchuk

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