@article{SM_1983_46_4_a7,
author = {Yu. N. Subbotin},
title = {The {Lebesgue} constants of certain $m$-dimensional interpolation polynomials},
journal = {Sbornik. Mathematics},
pages = {561--570},
year = {1983},
volume = {46},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1983_46_4_a7/}
}
Yu. N. Subbotin. The Lebesgue constants of certain $m$-dimensional interpolation polynomials. Sbornik. Mathematics, Tome 46 (1983) no. 4, pp. 561-570. http://geodesic.mathdoc.fr/item/SM_1983_46_4_a7/
[1] Berezin I. S., Zhidkov N. P., Metody vychislenii, T. 1, Fizmatgiz, M., 1959
[2] Ilin V. A., “Problemy lokalizatsii i skhodimosti dlya ryadov Fure po fundamentalnym sistemam funktsii operatora Laplasa”, UMN, 23:2 (1968), 61–120 | MR
[3] Babenko K. I., O skhodimosti v srednem kratnykh ryadov Fure i asimptotike yadra Dirikhle sfericheskikh srednikh, Preprint IPM AN SSSR. No 52, IPM, M., 1971 | MR
[4] Yudin V. A., “Povedenie konstant Lebega”, Matem. zametki, 17:3 (1975), 401–405 | Zbl
[5] Zigmund A., Trigonometricheskie ryady, T. 2, Mir, M., 1965 | MR
[6] Turetskii A. X., Teoriya interpolirovaniya v zadachakh, Vysshaya shkola, Minsk, 1968
[7] Cheney E. W., Hoby C. R., Morris P. D., Schurer F., Wulbert D. E., “On the minimal property of the Fourier projection”, Bull. Amer. Math Soc., 75:1 (1969), 51–52 | DOI | MR | Zbl
[8] Lambert P. V., “Minimum norm property of the Fourier projection in spaces of continous function”, Bull. Soc. Math. de Belgique, 31:4 (1969), 359–369 | MR
[9] Yudin A. A., Yudin V. A., “Diskretnye teoremy vlozheniya i konstanty Lebega”, Matem. zametki, 22:3 (1977), 381–394 | MR | Zbl
[10] Yudin V. A., “Otsenka snizu konstant Lebega”, Matem. zametki, 25:1 (1979), 119–122 | MR | Zbl
[11] Daugavet I. K., “O postoyannykh Lebega dlya dvoinykh ryadov Fure”, Metody vychislenii, no. 6, Izd-vo LGU, L., 1970, 8–13 | MR
[12] Pimenova L. M., O funktsii Lebega dlya nekotorykh interpolyatsionnykh mnogochlenov dvukh peremennykh, Dep. rukopis, No 105-79, 16 str
[13] Timan A. F., Teoriya priblizheniya funktsii deistvitelnogo peremennogo, Fizmatgiz, M., 1960
[14] Gradshtein I. S, Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1963 | MR