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@article{IVM_2007_2_a4, author = {G. S. Ragimkhanova and A.-R. K. Ramazanov}, title = {Interpolation chain fraction and two extremal problems on rational approximations to $|x|$}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {35--45}, publisher = {mathdoc}, number = {2}, year = {2007}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2007_2_a4/} }
TY - JOUR AU - G. S. Ragimkhanova AU - A.-R. K. Ramazanov TI - Interpolation chain fraction and two extremal problems on rational approximations to $|x|$ JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2007 SP - 35 EP - 45 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2007_2_a4/ LA - ru ID - IVM_2007_2_a4 ER -
%0 Journal Article %A G. S. Ragimkhanova %A A.-R. K. Ramazanov %T Interpolation chain fraction and two extremal problems on rational approximations to $|x|$ %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2007 %P 35-45 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2007_2_a4/ %G ru %F IVM_2007_2_a4
G. S. Ragimkhanova; A.-R. K. Ramazanov. Interpolation chain fraction and two extremal problems on rational approximations to $|x|$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2007), pp. 35-45. http://geodesic.mathdoc.fr/item/IVM_2007_2_a4/
[1] Newman D., “Rational approximation to $|x|$”, Michigan Math. J., 11:1 (1964), 11–14 | DOI | MR | Zbl
[2] Gonchar A. A., “Otsenki rosta ratsionalnykh funktsii i nekotorye ikh prilozheniya”, Matem. sb., 72:3 (1967), 489–503 | MR | Zbl
[3] Bulanov A. P., “Asimptotika dlya naimenshikh uklonenii $|x|$ ot ratsionalnykh funktsii”, Matem. sb., 76:2 (1968), 288–303 | MR | Zbl
[4] Vyacheslavov N. S., “O ravnomernom priblizhenii $|x|$ ratsionalnymi funktsiyami”, DAN SSSR, 220:3 (1975), 512–515 | Zbl
[5] Shtal G., “Nailuchshie ravnomernye ratsionalnye approksimatsii $|x|$ na $[-1,1]$”, Matem. sb., 183:8 (1992), 85–118 | MR | Zbl
[6] Akhiezer N. I., Lektsii po teorii approksimatsii, Nauka, M., 1965, 407 pp. | MR
[7] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987, 598 pp. | MR | Zbl
[8] Dzhouns U., Tron V., Nepreryvnye drobi. Analiticheskaya teoriya i prilozheniya, Mir, M., 1985, 414 pp. | MR
[9] Gasharov N. G., “O skhodimosti ratsionalnykh funktsii, interpoliruyuschikh $|x|$ po sisteme simmetrichnykh uzlov”, Lineinye operatory i ikh prilozheniya, Leningrad, 1981, 41–49
[10] Werner H., “Rationale Interpolation von $|x|$ in äquidistanten Punkten”, Math. Z., 180 (1982), 11–17 | DOI | MR | Zbl