Exact Jackson-Stechkin inequalities and diameters of classes of functions from $L_2(R^2,e^{-x^2-y^2})$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2007), pp. 3-9.

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M. G. Esmaganbetov. Exact Jackson-Stechkin inequalities and diameters of classes of functions from $L_2(R^2,e^{-x^2-y^2})$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2007), pp. 3-9. http://geodesic.mathdoc.fr/item/IVM_2007_2_a0/

[1] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, Izd-vo MGU, M., 1976, 304 pp. | MR

[2] Rafalson S. Z., “O priblizhenii funktsii v srednem summami Fure–Ermita”, Izv. vuzov. Matematika, 1968, no. 7, 78–84 | MR

[3] Abilov V. A., Abilov M. V., “Priblizhenie funktsii v prostranstve $L_2(R^2,\exp(-|x|^2))$”, Matem. zametki, 57:1 (1995), 3–19 | MR | Zbl

[4] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Fizmatgiz, M., 1962, 1100 pp. | MR

[5] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965, 588 pp. | MR

[6] Esmaganbetov M. G., Smailov E. S., Akishev G. A., Teoriya priblizheniya i vlozheniya klassov funktsii mnogikh peremennykh, Karaganda, 1986, 88 pp.

[7] Baisalova M. Zh., Esmaganbetov M. G., O tochnosti otsenok mezhdu smeshannym modulem gladkosti i priblizheniya “uglom” funktsii iz $L_2[0, 2\pi]^2$, Dep. KazNIINTI 25.06.87, No 1722-KA87, Karagand. un-t, Karaganda, 13 pp.

[8] Babenko K. I., “O priblizhenii periodicheskikh funktsii mnogikh peremennykh trigonometricheskimi mnogochlenami”, DAN SSSR, 132:2 (1960), 247–250 | MR | Zbl

[9] Esmaganbetov M. G., “Poperechniki klassov iz $L_2[0, 2\pi]$ i minimizatsiya tochnykh konstant v neravenstvakh tipa Dzheksona”, Matem. zametki, 65:6 (1999), 816–820 | MR | Zbl

[10] Esmaganbetov M. G., “Minimizatsiya tochnykh konstant v neravenstvakh tipa Dzheksona i poperechniki funktsii iz $L_2[0,2\pi]$”, Fundamentalnaya i prikladnaya matematika, 7:1 (2001), 275–280 | MR | Zbl

[11] Esmaganbetov M. G., “On diameters in $L_2$ of classes of differentiable functions”, Proc. of Math. Institute A. Razmadze, 121 (1999), 37–42 | MR