@article{SJIM_2007_10_4_a12,
author = {S. P. Sidorov},
title = {An estimate for the relative linear width of the unit ball for a class of positive operators},
journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
pages = {122--128},
year = {2007},
volume = {10},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a12/}
}
TY - JOUR AU - S. P. Sidorov TI - An estimate for the relative linear width of the unit ball for a class of positive operators JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2007 SP - 122 EP - 128 VL - 10 IS - 4 UR - http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a12/ LA - ru ID - SJIM_2007_10_4_a12 ER -
S. P. Sidorov. An estimate for the relative linear width of the unit ball for a class of positive operators. Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 4, pp. 122-128. http://geodesic.mathdoc.fr/item/SJIM_2007_10_4_a12/
[1] Shisha O., “Monotone approximation”, Pacific J. Math. 1, 15:2 (1965), 667–671 | MR | Zbl
[2] Lorentz G. G., Zeller K. L., “Monotone approximation by algebraic polynomials”, Trans. Amer. Soc., 149:1 (1970), 1–18 | DOI | MR | Zbl
[3] Kolmogorov A. N., “Uber die besste Annäherung von Funktionen einer gegeben Funktionklassen”, Ann. Math., 37 (1936), 107–110 | DOI | MR | Zbl
[4] Konovalov V. N., “Otsenki diametrov tipa Kolmogorova dlya klassov differentsiruemykh periodicheskikh funktsii”, Mat. zametki., 35 (1984), 369–380 | MR | Zbl
[5] Konovalov V. N., Leviatan D., “Shape-preserving widths of weighted Sobolev-type classes of positive, monotone and convex functions on finite interval”, Constr. Approx., 19:1 (2002), 23–58 | DOI | MR
[6] Tikhomirov V. M., “Poperechniki mnozhestv v funktsionalnom prostranstve i teoriya nailuchshikh priblizhenii”, Uspekhi mat. nauk, 15:3 (1960), 81–120 | MR | Zbl
[7] Korovkin P. P., “O skhodimosti lineinykh polozhitelnykh operatorov v prostranstve nepreryvnykh funktsii”, Dokl. AN SSSR, 90:5 (1953), 961–964 | MR | Zbl
[8] Korovkin P. P., “O poryadke priblizheniya funktsii lineinymi polozhitelnymi operatorami”, Dokl. AN SSSR, 114:6 (1957), 1158–1161 | MR | Zbl
[9] Videnskii V. S., “Ob odnom tochnom neravenstve dlya lineinykh polozhitelnykh operatorov konechnogo ranga”, Dokl. AN TadzhSSR, 24:12 (1981), 715–717 | MR | Zbl
[10] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, Izd-vo MGU, M., 1976 | MR