| Title | On interpolational and extremal properties of periodic perfect splines |
| Publication Type | Journal Article |
| Year of Publication | 2014 |
| Authors | Babenko, VF, Kovalenko, OV |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2014.12.007 |
| Issue | 12 |
| Section | Mathematics |
| Pagination | 7-11 |
| Date Published | 12/2014 |
| Language | Russian |
| Abstract | The existence and the extremal property of a periodic perfect spline, which interpolates the given function in mean, are proved. |
| Keywords | interpolational and extremal properties, perfect splines |
1. Korneychuk N. P. Exact constants in approximation theory, Moscow: Nauka, 1987 (in Russian).
2. Korneychuk N. P., Babenko V. F., Ligun A. A. Extreme properties of polynomials and splines, Kiev: Nauk. Dumka, 1992 (in Russian).
3. Karlin S. Bull. Amer. Math. Soc., 1973, 79, No 1: 124–128. https://doi.org/10.1090/S0002-9904-1973-13126-X
4. Karlin S. Trans. Amer. Math. Soc., 1975, 206: 25–66. https://doi.org/10.1090/S0002-9947-1975-0367512-0
5. Akhiezer N. I. Dokl. AN USSR, 1937, 17 (in Russian).
6. Akhiezer N. I. Dokl. AN USSR, 1938, 18 (in Russian).
7. Nikolskiy S. M. Izv. AN USSR. Ser. mathem., 1946, 10, No 3: 207–256 (in Russian).
8. Mairhuber J. C., Schoenberg I. J., Williamson R. E. Rend. Circ. Mat. Palermo, 1959, 8, No 2: 241–270. https://doi.org/10.1007/BF02843691
9. Galeev E. M., Tikhomirov V. M. A short course on the theory of extreme problems, Moscow: Izd-vo Mosk. un-ta, 1983 (in Russian).
