|
|
|
|
References
|
|
| |
| 1. |
N. I. Chernykh, “Best approximation of periodic functions by trigonometric polynomials in $L_{2}$”, Mathtmatical notes, 2:5 (1967), 803–808   |
| 2. |
Berdyshev V. I., “O teoreme Dzheksona v $L_{p}$”, Trudy MIAN SSSR, 88, 1967, 3–16 (in Russian)   |
| 3. |
L. V. Taikov, “Inequalities containing best approximations and the modulus of continuity of functions in $L_{2}$”, Mathematical notes, 20:3 (1976), 797–800 |
| 4. |
A. A. Ligun, “Some inequalities between best approximations and moduli of continuity in an $L_{2}$ space”, Mathematical notes, 24:6 (1978), 917–921 |
| 5. |
Ivanov V. I., Smirnov O. I., Konstanty Dzheksona i konstanty Yunga v prostranstvakh $L_{p}$, TulGU, Tula, 1995, 192 pp. (in Russian) |
| 6. |
S. B. Vakarchuk, “Jackson-type inequalities and widths of function classes in $L_{2}$”, Mathematical notes, 80:1–2 (2006), 11–18  |
| 7. |
M. Sh. Shabozov, “Widths of classes of periodic differentiable functions in the space $L_{2}[0, 2\pi]$”, Mathematical notes, 87:3–4 (2010), 575–581 |
| 8. |
M. Sh. Shabozov, G. A. Yusupov, “Best polynomial approximations in $L_2$ of classes of $2\pi$-periodic functions and exact values of their widths”, Mathematical notes, 90:5–6 (2011), 748–757 |
| 9. |
M. Sh. Shabozov, S. B. Vakarchuk, “O nailuchshem priblizhenii periodicheskikh funktsii trigonometricheskimi polinomami i tochnykh znacheniyakh poperechnikov funktsionalnykh klassov v $L_{2}$”, Analysis Mathematica, 38 (2012), 147–159 |
| 10. |
S. B. Vakarchuk, “Exact Constants in Jackson-type Inequalities and Exact Values of Widths”, Mathematical notes, 78:5–6 (2005), 735–739 |
| 11. |
Shabozov M. Sh., Vakarchuk S. B., Zabutnaya V. I., “Tochnye neravenstva tipa Dzheksona dlya $2\pi$-periodicheskikh funktsiy v prostranstve $L_{2}$ i poperechniki nekotorykh funktsional'nykh klassov”, DAN resp. Tadzh., 54:1 (2011), 5–12 (in Russian) |
| 12. |
Storozhenko E. A., Krotov V. G., Osval'd P., “Pryamye i obratnye teoremy tipa Dzheksona v prostranstvakh $L_{p}$, $0\lt p\lt 1$”, Matematicheskiy sbornik, 98:140 (1975), 395–415 (in Russian) |
| 13. |
Runovskiy K. V., “O priblizhenii semeystvami lineynykh polinomial'nykh operatorov v prostranstvakh $L_{p}$, $0\lt p\lt 1$”, Matematicheskiy sbornik, 185:8 (1994), 81–102 (in Russian) |
| 14. |
V. A. Abilov, F. V. Abilova, “Problems in the Approximation of $2\pi$-Periodic Functions by Fourier Sums in the Space $L_2 (2\pi)$”, Mathematical notes, 76:5–6 (2004), 749–757 |
| 15. |
Shabozov M. Sh., “Tochnye konstanty v neravenstvakh tipa Dzheksona i tochnye znacheniya $n$-poperechnikov nekotorykh klassov funktsiy iz $L_{2}$”, Izv. AN Resp. Tadzhikistan, otd. fiz-mat., khim., geol. i tekhn. nauk, 2010, no. 4(141), 7–24 (in Russian) |
| 16. |
Shabozov M. Sh., Yusupov G. A., “Tochnye konstanty v neravenstve tipa Dzheksona i tochnye znacheniya poperechnikov nekotorykh klassov funktsiy v $L_{2}$”, Sibirskiy matem. zhurn., 52:6 (2011), 936–948 (in Russian) |
| 17. |
S. B. Vakarchuk, V. I. Zabutnaya, “Jackson-Stechkin type inequalities for special moduli of continuity and widths of function classes in the space $L_{2}$”, Mathematical notes, 92:3–4 (2012), 458–472 |
| 18. |
Korneychuk N. P., Ligun A. A., Doronin V. G., Approksimatsiya s ogranicheniyami, Naukova dumka, Kiev, 1982, 252 pp. (in Russian) |
| 19. |
Tikhomirov V. M., Nekotorye voprosy teorii priblizheniy, MGU, M., 1976, 325 pp. (in Russian) |
| 20. |
A. Pinkus, $n$-Widths in Approximation Theory, Springer-Verlag, Berlin, 1985, 292 pp. |
