|
|
|
|
References
|
|
| |
| 1. |
Lorentz G. G., Bernstein Polynomials, Chelsea Publ. Comp., N.Y., 1986, xi+134 pp.   |
| 2. |
Videnskii V. S., Bernstein Polynomials, Posobie k spetskursu, LGPI, L., 1990, 64 pp. (in Russian) |
| 3. |
Davis P. J., Interpolation and Approximation, Dover, N.Y., 1975, xvi+394 pp. |
| 4. |
DeVore R. A., Lorentz G. G., Constructive Approximation, Springer-Verlag, Berlin–Heidelberg–N.Y., 1993, x+450 pp. |
| 5. |
Tikhonov I. V., Sherstyukov V. B., Petrosova M. A., “Bernstein Polynomials: the old and the new”, Issledovaniia po matematicheskomu analizu, v. 1, Matematicheskii forum, 8, Publ. VNTs RAN, Vladikavkaz, 2014, 126–175 (in Russian)  |
| 6. |
Schoenberg I. J., “On Variation Diminishing Approximation Methods”, On Numerical Approximation, Proceedings of a Symposium conducted by the Math. Research Center US Army (University of Wisconsin, Madison, April 21–23, 1958), ed. R. E. Langer, University of Wisconsin Press, Madison, 1959, 249–274 |
| 7. |
Freedman D., Passow E., “Degenerate Bernstein polynomials”, J. Approx. Theory, 39:1 (1983), 89–92   |
| 8. |
Passow E., “Some unusual Bernstein polynomials”, Approximation Theory IV, Proc. Intern. Symposium on Approximation Theory (Texas A&M University, College Station, Texas, January 10–14, 1983), eds. C. K. Chui, L. L. Schumaker, J. D. Ward, Academic Press, N.Y.–London, 1983, 649–652 |
| 9. |
Passow E., “Deficient Bernstein polynomials”, J. Approx. Theory, 59:3 (1989), 282–285 |
| 10. |
Kocić Lj. M., Della Veccia B., “Degeneracy of positive linear operators”, Facta Universitatis (Nis̆). Ser. Mathematics and Informatics, 13 (1998), 59–72 |
| 11. |
Petukhova N. Yu., Tikhonov I. V., Sherstyukov V. B., “Gluing property of Bernstein polynomials for piecewise linear continuous functions”, Matematika, informatika, phizika v nauke i obrazovanii, Sbornik nauchnykh trudov k 140-letiyu MPGU, Prometei, M., 2012, 81–82 (in Russian) |
| 12. |
Tikhonov I. V., Sherstyukov V. B., “The module function approximation by Bernstein polynomials”, Vestnik ChelGU. Matematika. Mekhanika. Informatika, 15:26 (2012), 6–40 (in Russian) |
| 13. |
Temple W. B., “Stieltjes integral representation of convex functions”, Duke Mathematical Journal, 21:3 (1954), 527–531 |
| 14. |
Aramă O., “Rroprientăţi privind monotonia şirului polinoamelor de interpolare ale lui S. N. Bernstein şi aplicarea lor la studiul aproximării funcţiilor”, Studii şi cercetări de Matematică (Cluj), 8:3–4 (1957), 195–210 |
