Geodesic
Polyorthogonalization of a Function System
Matematičeskie zametki, Tome 113 (2023) no. 2, pp. 316-320.

Voir la notice de l'article provenant de la source Math-Net.Ru

Keywords: orthogonal functions, orthogonalization theorem, pre-Hilbert spaces.
Mots-clés : polyorthogonal polynomials 
@article{MZM_2023_113_2_a14,
     author = {A. P. Starovoitov},
     title = {Polyorthogonalization of a {Function} {System}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {316--320},
     publisher = {mathdoc},
     volume = {113},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2023_113_2_a14/}
}
TY  - JOUR
AU  - A. P. Starovoitov
TI  - Polyorthogonalization of a Function System
JO  - Matematičeskie zametki
PY  - 2023
SP  - 316
EP  - 320
VL  - 113
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2023_113_2_a14/
LA  - ru
ID  - MZM_2023_113_2_a14
ER  - 
%0 Journal Article
%A A. P. Starovoitov
%T Polyorthogonalization of a Function System
%J Matematičeskie zametki
%D 2023
%P 316-320
%V 113
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2023_113_2_a14/
%G ru
%F MZM_2023_113_2_a14
A. P. Starovoitov. Polyorthogonalization of a Function System. Matematičeskie zametki, Tome 113 (2023) no. 2, pp. 316-320. http://geodesic.mathdoc.fr/item/MZM_2023_113_2_a14/

[1] E. M. Nikishin, V. N. Sorokin, Ratsionalnye approksimatsii i ortogonalnost, Nauka, M., 1988 | MR | Zbl

[2] W. Van Assche, E. Coussement, J. Comput. Appl. Math., 127 (2001), 317–347 | DOI | MR

[3] A. I. Aptekarev, A. Branquinho, W. Van Assche, Trans. Amer. Math. Soc., 355:10 (2003), 3887–3914 | DOI | MR

[4] A. P. Starovoitov, N. V. Ryabchenko, Izv. vuzov. Matem., 2021, no. 4, 80–89 | DOI

[5] A. P. Starovoitov, N. V. Ryabchenko, Matem. zametki, 110:3 (2021), 424–433 | DOI | MR

[6] I. P. Natanson, Konstruktivnaya teoriya funktsii, GITTL, M.–L., 1949 | MR | Zbl

[7] A. P. Starovoitov, E. P. Kechko, “O poliortogonalnykh sistemakh funktsii”, Sovremennye problemy teorii funktsii i ikh prilozheniya, Saratovskii gos. un-t, Saratov, 2022, 275–278

[8] B. C. Kashin, A. A. Saakyan, Ortogonalnye ryady, Izd-vo AFTs, M., 1999 | MR | Zbl