Geodesic
Best Hausdorff approximations by algebraic polynomials and porosity
Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 692-702.

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

For any $b\in(a,a')$, a sharp lower bound for the coefficient of $v$-uniformity of the set of discontinuity points of a function $f$ on the interval $(-b,b)$ is obtained. 
@article{MZM_1996_59_5_a4,
     author = {A. I. Ermakov},
     title = {Best {Hausdorff} approximations by algebraic polynomials and porosity},
     journal = {Matemati\v{c}eskie zametki},
     pages = {692--702},
     publisher = {mathdoc},
     volume = {59},
     number = {5},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a4/}
}
TY  - JOUR
AU  - A. I. Ermakov
TI  - Best Hausdorff approximations by algebraic polynomials and porosity
JO  - Matematičeskie zametki
PY  - 1996
SP  - 692
EP  - 702
VL  - 59
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a4/
LA  - ru
ID  - MZM_1996_59_5_a4
ER  - 
%0 Journal Article
%A A. I. Ermakov
%T Best Hausdorff approximations by algebraic polynomials and porosity
%J Matematičeskie zametki
%D 1996
%P 692-702
%V 59
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a4/
%G ru
%F MZM_1996_59_5_a4
A. I. Ermakov. Best Hausdorff approximations by algebraic polynomials and porosity. Matematičeskie zametki, Tome 59 (1996) no. 5, pp. 692-702. http://geodesic.mathdoc.fr/item/MZM_1996_59_5_a4/

[1] Sendov Bl., Khausdorfovye priblizheniya, Izd-vo Bolg. AN, Sofiya, 1979 | Zbl

[2] Dolzhenko E. P., Sevastyanov E. A., “O zavisimosti svoistv funktsii ot skorosti ikh priblizheniya polinomami”, Izv. AN SSSR. Ser. matem., 42 (1978), 270–304 | MR | Zbl

[3] Dolzhenko E. P., Sevastyanov E. A., “O priblizhenii funktsii v khausdorfovoi metrike”, Dokl. AN SSSR, 226:4 (1976), 768–770 | MR | Zbl

[4] Petrushev P., Tashev S., “Nekotorye obratnye teoremy v metrike Khausdorfa”, Dokl. Bolg. AN, 29 (1976), 1721–1724 | MR | Zbl

[5] Ermakov A. I., “Nailuchshie khausdorfovy priblizheniya algebraicheskimi polinomami i nepreryvnost funktsii”, Matem. zametki, 28:6 (1980), 843–858 | MR | Zbl

[6] Petukhov A. P., “O zavisimosti svoistv mnozhestva tochek razryva funktsii ot skorosti ee polinomialnykh khausdorfovykh priblizhenii”, Matem. sb., 180:7 (1989), 969–988 | Zbl

[7] Dolzhenko E. P., “Granichnye svoistva proizvolnykh funktsii”, Izv. AN SSSR. Ser. matem., 31:1 (1967), 3–14 | MR | Zbl