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@article{MZM_1999_66_3_a1, author = {E. E. Berdysheva}, title = {Two related extremal problems for entire functions of several variables}, journal = {Matemati\v{c}eskie zametki}, pages = {336--350}, publisher = {mathdoc}, volume = {66}, number = {3}, year = {1999}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1999_66_3_a1/} }
E. E. Berdysheva. Two related extremal problems for entire functions of several variables. Matematičeskie zametki, Tome 66 (1999) no. 3, pp. 336-350. http://geodesic.mathdoc.fr/item/MZM_1999_66_3_a1/
[1] Logan B. F., “Extremal problems for positive-definite bandlimited functions. II: Eventually negative functions”, SIAM J. Math. Anal., 14:2 (1983), 253–257 | DOI | MR | Zbl
[2] Chernykh N. I., “O neravenstve Dzheksona v $L_2$”, Tr. MIAN, 88, Nauka, M., 1967, 71–74
[3] Chernykh N. I., “O nailuchshem priblizhenii periodicheskikh funktsii trigonometricheskimi polinomami v $L_2$”, Matem. zametki, 2:5 (1967), 513–522 | MR
[4] Yudin V. A., “Mnogomernaya teorema Dzheksona v $L_2$”, Matem. zametki, 29:2 (1981), 309–315 | MR | Zbl
[5] Arestov V. V., Chernykh N. I., “On the $L_2$-approximation of periodic function by trigonometric polynomials”, Approximation and function spaces, Proc. Conf. (Gdan'sk, 1979), North-Holland, Amsterdam, 1981, 25–43 | MR
[6] Babenko A. G., “Ob odnoi ekstremalnoi zadache dlya polinomov”, Matem. zametki, 35:3 (1984), 349–356 | MR | Zbl
[7] Berdysheva E. E., “An extremal problem for entire functions of exponential type with nonnegative mean value”, East J. Approx., 3:4 (1997), 393–402 | MR
[8] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | Zbl
[9] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977
[10] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, M., 1959
[11] Logan B. F., “Extremal problems for positive-definite bandlimited functions. I: Eventually positive functions with zero integral”, SIAM J. Math. Anal., 14:2 (1983), 249–252 | DOI | MR | Zbl
[12] Kurant R., Gilbert D., Metody matematicheskoi fiziki, T. 1, Gostekhizdat, L., 1951
[13] Babenko A. G., “Tochnoe neravenstvo Dzheksona–Stechkina v prostranstve $L^2$ funktsii na mnogomernoi sfere”, Matem. zametki, 60:3 (1996), 333–355 | MR | Zbl
[14] Ibragimov I. I., Nasibov F. G., “Ob otsenke nailuchshego srednekvadratichnogo priblizheniya summiruemoi funktsii na veschestvennoi osi posredstvom tselykh funktsii konechnoi stepeni”, Dokl. AN SSSR, 194:5 (1970), 1013–1016 | MR | Zbl
[15] Popov V. Yu., “O nailuchshikh srednekvadratichnykh priblizheniyakh tselymi funktsiyami eksponentsialnogo tipa”, Izv. vuzov. Matem., 1972, no. 6 (399), 65–73 | Zbl
[16] Moskovskii A. V., “Teoremy Dzheksona v prostranstvakh $L_p({\mathbb R}^n)$ i $L_{p,\lambda }({\mathbb R}_+)$”, Izv. Tulskogo gos. un-ta. Ser. matem., mekh., informatika, 3:1 (1997), 44–70 | MR
[17] Babenko A. G., “O tochnoi konstante Dzheksona v $L_2$”, Matem. zametki, 39:5 (1986), 651–664 | MR | Zbl
[18] Arestov V. V., Popov V. Yu., “Neravenstva Dzheksona na sfere v $L_2$”, Izv. vuzov. Matem., 1995, no. 8 (399), 13–20 | MR | Zbl