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References
|
|
| |
| 1. |
Babenko A.G., Kryakin Yu.V., Yudin V.A., “Odnostoronnee priblizhenie v $L$ kharakteristicheskoi funktsii intervala trigonometricheskimi polinomami”, Tr. In-ta matematiki i mekhaniki UrO RAN, 18:1 (2012), 82–95  |
| 2. |
Berezin I.S., Zhidkov N.P., Metody vychislenii, ucheb. posob.: v 2 t. 2-e izd., stereotip., v. 1,2, Fizmatgiz, M., 1962, 464,639 pp.  |
| 3. |
Krylov V.I., Priblizhennoe vychislenie integralov, Fizmatlit, M., 1959, 327 pp. |
| 4. |
Markov A.A., Izbrannye trudy po teorii nepreryvnykh drobei i teorii funktsii, naimenee uklonyayuschikhsya ot nulya, Gostekhizdat, M.; L., 1948, 411 pp. |
| 5. |
Postnikov A.G., Vvedenie v analiticheskuyu teoriyu chisel, Nauka, M., 1971, 416 pp. |
| 6. |
Sege G., Ortogonalnye mnogochleny, Fizmatgiz, M., 1962, 500 pp. |
| 7. |
Bojanic R., DeVore R., “On polynomials of best one-sided approximation”, Enseign. Math., 2:12 (1966), 139–164  |
| 8. |
Bustamante J., Marti nez-Cruz R., Quesada J.M., “Quasi orthogonal Jacobi polynomials and best one-sided $L_1$ approximation to step functions”, J. Approx. Theory, 198 (2015), 10–23   |
| 9. |
Bultheel A., Cruz-Barroso R., Van Barel M., “On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line”, Calcolo, 47:1 (2010), 21–48 |
| 10. |
B. Beckermann, J. Bustamante, R. Martinez-Cruz, J.M. Quesada, “Gaussian, Lobatto and Radau positive quadrature rules with a prescribed abscissa”, Calcolo, 51:2 (2014), 319–328 |
| 11. |
Li X.-J., Vaaler J.D., “Some trigonometric extremal functions and the Erdos-Turan type inequalities”, Ind. Univ. Math. J., 48:1 (1999), 183–236 |
| 12. |
Peherstorfer F., “Positive quadrature formulas III: asymptotics of weights”, Math. Comput., 77:264 (2008), 2241–2259 |
| 13. |
Stieltjes T.J., “Quelques recherches sur la theorie des quadratures dites mechaniques”, Annales Sc. de l'Ecole Norm. Super., 1:3 (1884), 409–426 |
