Geodesic
Inequalities for polyharmonic polynomials in a mixed norm
Izvestiya. Mathematics, Tome 1 (1967) no. 2, pp. 259-272 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper establishes inequalities in terms of a mixed norm for polynomials which are polyharmonic in the unit circle. These inequalities are of Bernshtein type for trigonometric polynomials. On the basis of the inequalities obtained, one can explain the differential properties of functions polyharmonic in the unit circle as regards their dependence on properties of the boundary values. 
@article{IM2_1967_1_2_a3,
     author = {Ya. S. Bugrov},
     title = {Inequalities for polyharmonic polynomials in a mixed norm},
     journal = {Izvestiya. Mathematics},
     pages = {259--272},
     year = {1967},
     volume = {1},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a3/}
}
TY  - JOUR
AU  - Ya. S. Bugrov
TI  - Inequalities for polyharmonic polynomials in a mixed norm
JO  - Izvestiya. Mathematics
PY  - 1967
SP  - 259
EP  - 272
VL  - 1
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a3/
LA  - en
ID  - IM2_1967_1_2_a3
ER  - 
%0 Journal Article
%A Ya. S. Bugrov
%T Inequalities for polyharmonic polynomials in a mixed norm
%J Izvestiya. Mathematics
%D 1967
%P 259-272
%V 1
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a3/
%G en
%F IM2_1967_1_2_a3
Ya. S. Bugrov. Inequalities for polyharmonic polynomials in a mixed norm. Izvestiya. Mathematics, Tome 1 (1967) no. 2, pp. 259-272. http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a3/

[1] Zigmund A., Trigonometricheskie ryady, M., L., 1939

[2] Bugrov Ya. S., “Zadacha Dirikhle dlya kruga”, Dokl. AN SSSR, 115:4 (1957), 639–642 | MR | Zbl

[3] Bugrov Ya. S., “Svoistva poligarmonicheskikh funktsii”, Izv. AN SSSR. Ser. matem., 22 (1958), 491–514 | MR

[4] Xardi G. G., Littlvud D. E., Polia G., Neravenstva, IL, M., 1948

[5] Bugrov Ya. S., “Neravenstva tipa neravenstv Bernshteina i ikh primenenie k issledovaniyu differentsialnykh svoistv reshenii differentsialnykh uravnenii vysshego poryadka”, Mathematica, 5(28):1 (1963), 5–25 | MR | Zbl

[6] Nikolskii S. M., “Neravenstva dlya tselykh funktsii konechnoi stepeni i ikh primenenie v teorii differentsiruemykh funktsii mnogikh peremennykh”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 38, 1951, 244–278 | MR | Zbl

[7] Zigmund A., Trigonometricheskie ryady, t. I, M., 1965