Geodesic
The rate of the polygonal approximation of a~non-rectifiable curve and the jump problem
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2010), pp. 25-31.

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

We consider certain boundary value problems for functions holomorphic in domains bounded by closed non-rectifiable curves in the complex plane. We study the solvability of these problems in dependence of the rate of the polygonal approximation of the mentioned curves.
Keywords: holomorphic functions, jump problem
Mots-clés : non-rectifiable curves. 
@article{IVM_2010_5_a3,
     author = {B. A. Kats},
     title = {The rate of the polygonal approximation of a~non-rectifiable curve and the jump problem},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {25--31},
     publisher = {mathdoc},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_5_a3/}
}
TY  - JOUR
AU  - B. A. Kats
TI  - The rate of the polygonal approximation of a~non-rectifiable curve and the jump problem
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2010
SP  - 25
EP  - 31
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2010_5_a3/
LA  - ru
ID  - IVM_2010_5_a3
ER  - 
%0 Journal Article
%A B. A. Kats
%T The rate of the polygonal approximation of a~non-rectifiable curve and the jump problem
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2010
%P 25-31
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2010_5_a3/
%G ru
%F IVM_2010_5_a3
B. A. Kats. The rate of the polygonal approximation of a~non-rectifiable curve and the jump problem. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2010), pp. 25-31. http://geodesic.mathdoc.fr/item/IVM_2010_5_a3/

[1] Gakhov F. D., Kraevye zadachi, Nauka, M., 1977, 640 pp. | MR | Zbl

[2] Dynkin E. M., “Gladkost integrala tipa Koshi”, Zap. nauchn. semin. Leningr. otd. Matem. in-ta AN SSSR, 92, 1979, 115–133 | MR

[3] Salimov T., “Pryamaya otsenka dlya singulyarnogo integrala Koshi po zamknutoi krivoi”, Nauchn. tr. MV i SSO Azerb. SSR, 1979, no. 5, 59–75 | MR

[4] Kats B. A., “Zadacha Rimana na zamknutoi zhordanovoi krivoi”, Izv. vuzov. Matematika, 1983, no. 4, 68–80 | MR | Zbl

[5] Feder E., Fraktaly, Mir, M., 1991, 280 pp. | MR

[6] Kats B. A., “The refined metric dimension with applications”, Comput. Methods Funct. Theory, 7:1 (2007), 77–89 | MR | Zbl

[7] Vekua I. N., Obobschennye analiticheskie funktsii, Mir, M., 1988, 509 pp. | MR

[8] Khermander L., Analiz lineinykh differentsialnykh operatorov s chastnymi proizvodnymi. { T. 1.} Teoriya raspredelenii i analiz Fure, Mir, M., 1986, 462 pp.

[9] Kats B. A., Pogodina A. Yu., “Zadacha o skachke i ryad Fabera–Shaudera”, Izv. vuzov. Matematika, 2007, no. 1, 16–22 | MR | Zbl