Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IM2_1969_3_3_a6, author = {S. Ya. Havinson}, title = {A~Chebyshev theorem for the approximation of a~function of two variables by sums of the type $\varphi(x)+\psi(y)$}, journal = {Izvestiya. Mathematics }, pages = {617--632}, publisher = {mathdoc}, volume = {3}, number = {3}, year = {1969}, language = {en}, url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_3_a6/} }
TY - JOUR AU - S. Ya. Havinson TI - A~Chebyshev theorem for the approximation of a~function of two variables by sums of the type $\varphi(x)+\psi(y)$ JO - Izvestiya. Mathematics PY - 1969 SP - 617 EP - 632 VL - 3 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1969_3_3_a6/ LA - en ID - IM2_1969_3_3_a6 ER -
S. Ya. Havinson. A~Chebyshev theorem for the approximation of a~function of two variables by sums of the type $\varphi(x)+\psi(y)$. Izvestiya. Mathematics , Tome 3 (1969) no. 3, pp. 617-632. http://geodesic.mathdoc.fr/item/IM2_1969_3_3_a6/
[1] Ofman Yu. P., “O nailuchshem priblizhenii funktsii dvukh peremennykh funktsiyami vida $\varphi(x)+\psi(y)$”, Izv. AN SSSR. Ser. matem., 25 (1961), 239–252 | MR
[2] Motornyi V. P., “K voprosu o nailuchshem priblizhenii funktsii dvukh peremennykh funktsiyami vida $\varphi(x)+\psi(y)$”, Issledovaniya po sovremennym problemam konstruktivnoi teorii funktsii, Baku, 1965, 66–73 | MR
[3] Motornyi V. P., “K voporsu o nailuchshem priblizhenii funktsii dvukh peremennykh funktsiyami vida $\varphi(x)+\psi(y)$”, Izv. AN SSSR. Ser. matem., 27 (1963), 1211–1214 | MR | Zbl
[4] Romanova Z. S., “O razmernosti mnogogrannikov nailuchshikh priblizhenii v prostranstve nepreryvnykh funktsii”, Litovskii matem. sb., II:2 (1963), 181–191 | MR
[5] Singer I., “On the set of the best approximation of an element in a normed linear space”, Rev. math. pures et appl., V:2 (1960), 388–402 | MR
[6] Tumarkin G. Ts., Khavinson S. Ya., “Kachestvennye svoistva reshenii ekstremalnykh zadach nekotorykh tipov”, Issledovaniya po sovremennym problemam teorii funktsii kompleksnogo peremennogo, M., 1961, 77–95
[7] Akhiezer N. I., Lektsii po teorii approksimatsii, M., 1966
[8] Rivlin T. J., Sibner R. J., “The degree of approximation of certain functions of two variables by a sum of functions of one variable”, Amer. Math. Monthly, 72:10 (1965), 1101–1103 | DOI | MR | Zbl
[9] Hatanson I. P., Teoriya funktsii veschestvennoi peremennoi, M., L., 1950
[10] Kripke B. R., Holmes R. B., “Approximation of bounded functions by continuos functions”, Bull. Amer. Math. Soc., 71:6 (1965), 896–897 | DOI | MR | Zbl
[11] Babaev M.-B. A., “O nailuchshem stepennom priblizhenii funktsii dvukh peremennykh funktsiyami vida $\varphi(x)+\psi(y)$”, Izv. AN AzerbSSR. Ser. fiz.-matem. i tekhn. nauk, 6 (1962), 25–39 | MR
[12] Babaev M.-B. A., “O nailuchshem priblizhenii funktsii mnogikh peremennykh summami funktsii odnoi peremennoi v obobschennom prostranstve Lebega”, Issledovaniya po teorii differentsialnykh uravnenii i teorii funktsii, Baku, 1965, 11–24
[13] Babaev M.-B. A., “O edinstvennosti nailuchshei priblizhayuschei funktsii pri priblizhenii funktsii mnogikh peremennykh summami funktsii odnoi peremennoi v obobschennom prostranstve Lebega”, Izv. AN AzerbSSR. Ser. fiz.-matem. i tekhn. nauk, 3 (1965), 8–14 | MR | Zbl
[14] Babaev M.-B. A., “Ob otsenke i nakhozhdenii znacheniya nailuchshego priblizheniya funktsii mnogikh peremennykh summami funktsii odnoi peremennoi v obobschennom prostranstve Lebega”, Nekotorye voprosy funktsionalnogo analiza i ego primenenii, Baku, 1965, 17–22 | MR
[15] Singer I., “Caractérisation des éléments de meilleure approximation dans un espace de Banach quelconque”, Acta Sci. Math., 17 (1956), 181–189 | MR | Zbl
[16] Pomanovskii I. V., Sudakov V. N., “O suschestvovanii nezavisimykh razbienii”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 79, 1965, 5–10
[17] Linnik Yu. V., Statisticheskie zadachi s meshayuschimi parametrami, gl. Kh, § 2, M., 1966