@article{ZNSL_2016_453_a13,
author = {A. A. Makarov},
title = {On functionals dual to minimal splines},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {198--218},
year = {2016},
volume = {453},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_453_a13/}
}
A. A. Makarov. On functionals dual to minimal splines. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIX, Tome 453 (2016), pp. 198-218. http://geodesic.mathdoc.fr/item/ZNSL_2016_453_a13/
[1] M. J. Marsden, I. J. Schoenberg, “On variation diminishing spline approximation methods”, Mathematica (Cluj), 8(31):1 (1966), 61–82 | MR | Zbl
[2] C. de Boor, G. J. Fix, “Spline approximation by quasiinterpolants”, J. Approx. Theory, 8:1 (1973), 19–45 | DOI | MR | Zbl
[3] T. Lyche, L. L. Schumaker, “Local spline approximation methods”, J. Approx. Theory, 15:4 (1975), 294–325 | DOI | MR | Zbl
[4] S. B. Stechkin, Yu. N. Subbotin, Splainy v vychislitelnoi matematike, M., 1976
[5] Yu. S. Zavyalov, V. I. Kvasov, B. K. Miroshnichenko, Metody splain-funktsii, M., 1980
[6] L. L. Schumaker, Spline Functions: Basic Theory, John Wiley and Sons, Inc., New York, 1981 | MR | Zbl
[7] Yu. K. Demyanovich, Lokalnaya approksimatsiya na mnogoobrazii i minimalnye splainy, Izd-vo S.-Peterb. un-ta, SPb., 1994
[8] I. G. Burova, Yu. K. Demyanovich, Minimalnye splainy i ikh prilozheniya, Izd-vo S.-Peterb. un-ta, SPb., 2010
[9] Yu. S. Volkov, E. V. Strelkova, V. T. Shevaldin, “Lokalnaya approksimatsiya splainami so smescheniem uzlov”, Matem. tr., 14:2 (2011), 73–82 | MR | Zbl
[10] M. J. Marsden, “An identity for spline functions with applications to variation-diminishing spline approximation”, J. Approx. Theory, 3:1 (1970), 7–49 | DOI | MR | Zbl
[11] Yu. K. Demyanovich, C. Yu. Marakova, “O reshenii nekotorykh interpolyatsionnykh zadach v klassakh minimalnykh splainov”, Chislennyi analiz: teoriya, prilozheniya, programmy, Izd-vo MGU, 1999, 131–153
[12] M. Spivak, Matematicheskii analiz na mnogoobraziyakh, Lan, SPb., 2005
[13] A. A. Makarov, “O postroenii splainov maksimalnoi gladkosti”, Problemy matem. analiza, Mezhvuz. sb., 60, ed. N. N. Uraltseva, Izd-vo T. Rozhkovskaya, Novosibirsk, 2011, 25–38
[14] A. A. Makarov, “Kusochno-nepreryvnye splain-veivlety na neravnomernoi setke”, Tr. SPIIRAN, 14, 2010, 103–131
[15] A. A. Makarov, “Odin variant splain-veivletnogo razlozheniya prostranstv $B$-splainov”, Vestn. S.-Peterb. un-ta. Ser. 10, 2009, no. 2, 59–71
[16] A. A. Makarov, “Biortogonalnye sistemy funktsionalov i matritsy dekompozitsii dlya minimalnykh splainov”, Ukr. mat. visnik, 9:2 (2012), 219–236 | Zbl