Best polynomial approximations and the widths of function classes in L 2

Author:

Shabozov M. Sh.,Tukhliev K.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference16 articles.

1. N. I. Chernykh, “Best approximation of periodic functions by trigonometric polynomials in L 2,” Math. Notes 2 (1967), 803–808 (1968) Mat. Zametki 2 (5), 513–522 (1967) [Math. Notes 2 (5), 513–522 (1967)].

2. L. V. Taikov, “Inequalities containing best approximations and the modulus of continuity of functions in L 2,” Mat. Zametki 20(3), 433–438 (1976).

3. V. A. Yudin, “Diophantine approximations in extremal problems,” Dokl. Akad. Nauk SSSR 251(1), 54–57 (1980) [SovietMath. Dokl. 21 (2), 400–403 (1980)].

4. A. G. Babenko, “The exact constant in the Jackson inequality in L 2,” Mat. Zametki 39(5), 651–664 (1986) [Math. Notes 39 (5), 355–363 (1986)].

5. A. A. Ligun, “Exact inequalities of Jackson type for periodic functions in space L 2,” Mat. Zametki 43(6), 757–769 (1988) [Math. Notes 43 (6), 435–443 (1988)].

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