Geodesic
On the equivalence constants for some norms on the spaces of algebraic polynomials
Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 4, pp. 65-80 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We discuss some approaches to achieve the exact values and estimates of the constants which appear in the inequalities for some equivalent norms on the spaces of algebraic polynomials.
Keywords: spaces of polynomials, norms
Mots-clés : equivalence constants. 
@article{MAIS_2008_15_4_a6,
     author = {M. V. Nevskij},
     title = {On the equivalence constants for some norms on the spaces of algebraic polynomials},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {65--80},
     year = {2008},
     volume = {15},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a6/}
}
TY  - JOUR
AU  - M. V. Nevskij
TI  - On the equivalence constants for some norms on the spaces of algebraic polynomials
JO  - Modelirovanie i analiz informacionnyh sistem
PY  - 2008
SP  - 65
EP  - 80
VL  - 15
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a6/
LA  - ru
ID  - MAIS_2008_15_4_a6
ER  - 
%0 Journal Article
%A M. V. Nevskij
%T On the equivalence constants for some norms on the spaces of algebraic polynomials
%J Modelirovanie i analiz informacionnyh sistem
%D 2008
%P 65-80
%V 15
%N 4
%U http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a6/
%G ru
%F MAIS_2008_15_4_a6
M. V. Nevskij. On the equivalence constants for some norms on the spaces of algebraic polynomials. Modelirovanie i analiz informacionnyh sistem, Tome 15 (2008) no. 4, pp. 65-80. http://geodesic.mathdoc.fr/item/MAIS_2008_15_4_a6/

[1] V. K. Dzyadyk, Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami, Nauka, M., 1977, 512 pp. | MR | Zbl

[2] A. A. Kipillov, A. D. Gvishiani, Teopemy i zadachi funktsionalnogo analiza, Nauka, M., 1979, 384 pp. | MR

[3] M. V. Nevskii, Ob interpolyatsii funktsii $n$ peremennykh s pomoschyu lineinykh kombinatsii $1,x_i,x_ix_j$ $(i)$, Dep. v VINITI 28.02.2005, No 275-B2005, Yaposlavl, 2005, 12 pp.

[4] M. V. Nevskii, O konstantakh v neravenstvakh dlya ekvivalentnykh norm nekotorykh mnogochlenov ot $n$ peremennykh, Dep. v VINITI 28.02.2005, No 274-B2005, Yaposlavl, 2005, 16 pp.

[5] M. V. Nevskii, “Nepavenstva dlya nopm ppoektopov ppi inteppolyatsii po vepshinam $n$-mepnogo kuba”, Matematika v Yaposlavskom univepsitete, Sbopnik obzopnykh statei: K 30-letiyu matematicheskogo fakulteta, Yaposlavl, 2006, 307–330

[6] M. V. Nevskii, “Neravenstva dlya norm interpolyatsionnykh proektorov”, Modelipovanie i analiz infopmatsionnykh sistem, 15:3 (2008), 28–37

[7] A. F. Timan, Teopiya priblizheniya funktsii deistvitelnogo peremennogo, Gos. izd-vo fiz.-mat. lit., M., 1960, 624 pp.

[8] T. J. Rivlin, Chebyshev polynomials, John Wiley Sons, New York, 1990, 249 pp. | MR | Zbl