Geodesic
On the speed of rational approximation of some analytic functions
Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 131-145 
A. A. Gonchar. On the speed of rational approximation of some analytic functions. Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 131-145. http://geodesic.mathdoc.fr/item/SM_1978_34_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The speed of rational approximation of functions of the form $\widehat\mu=\mu*(1/z)$ is studied, where $\mu$ is a finite positive measure with compact support, lying on the real line $\mathbf R$. Bibliography: 11 titles.

[1] Dzh. L. Uolsh, Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, IL, Moskva, 1961 | MR

[2] A. A. Gonchar, “Skorost priblizheniya ratsionalnymi drobyami i svoistva funktsii”, Trudy Mezhdunarodnogo kongressa matematikov (Moskva 1966), izd-vo “Mir”, Moskva, 1968, 329–356 | MR

[3] A. A. Gonchar, “O zadachakh E. I. Zolotareva, svyazannykh s ratsionalnymi funktsiyami”, Matem. sb., 78(120) (1968), 640–654

[4] T. Bagby, “The modulus of a plane condenser”, J. Math, and Mech., 17:4 (1967), 315–329 | MR | Zbl

[5] T. Bagby, “On interpolation by rational functions”, Duke Math. J., 36:1 (1969), 95–104 | DOI | MR | Zbl

[6] E. I. Zolotarev, Prilozhenie ellipticheskikh funktsii k voprosam o funktsiyakh, naimenee i naibolee otklonyayuschikhsya ot nulya, Sobranie sochinenii, t. II, izd-vo AN SSSR, Moskva, 1932

[7] N. I. Akhiezer, Elementy teorii ellipticheskikh funktsii, izd-vo “Nauka”, Moskva, 1970 | MR

[8] N. I. Akhiezer, Lektsii po teorii approksimatsii, izd-vo “Nauka”, Moskva, 1965 | MR

[9] V. D. Erokhin, “O nailuchshikh priblizheniyakh analiticheskikh funktsii posredstvom ratsionalnykh drobei so svobodnymi polyusami”, DAN SSSR, 128:1 (1959), 29–32 | Zbl

[10] A. A. Gonchar, “Kvazianaliticheskie klassy funktsii, svyazannye s nailuchshimi priblizheniyami ratsionalnymi funktsiyami”, Izv. AN Arm. SSR, VI:2–3 (1971), 148–159

[11] A. A. Gonchar, “Skorost ratsionalnoi approksimatsii i svoistvo odnoznachnosti analiticheskoi funktsii v okrestnosti izolirovannoi osoboi tochki”, Matem. sb., 94(136) (1974), 265–282 | Zbl