Geodesic
On norms and certain characteristics of trigonometric approximation by Baskakov operators
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 41-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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The article covers actual question in the theory of approximations. It researches approximative opportunities of concrete approximating structures. In the article one of the actively studied in recent times types of approximating operators – Baskakov's trigonometric operators. Some characteristics of these operators are being investigated: norms and approximation constants, assessment and improved. In particular, the assessment of their difference is obtained.
Keywords: Baskakov's trigonometric operators, approximate estimates. 
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     title = {On norms and certain characteristics of trigonometric approximation by {Baskakov} operators},
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O. S. Lyamina. On norms and certain characteristics of trigonometric approximation by Baskakov operators. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 41-51. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a4/

[1] Abakumov Yu. G., Verkhoturova M. A., “O tochnoi konstante v odnoi approksimatsionnoi otsenke”, Modelirovanie. Sistemnyi analiz. Tekhnologii, sb. nauch. trudov, ZabIZhT, Chita, 2008, 51–55

[2] Abakumov Yu. G., Karymova E. Yu., Kogan E. S., “Ob odnoi tochnoi konstante”, Primenenie funktsionalnogo analiza v teorii priblizhenii, TvGU, Tver, 2008, 14–17

[3] Abakumov Yu. G., Priblizhenie periodicheskikh funktsii trigonometricheskimi operatorami Baskakova, ChitGU, Chita, 2006, 158 pp.

[4] Abakumov Yu. G., “Trigonometricheskie operatory Baskokova – unikalnyi primer sovokupnosti approksimiruyuschikh posledovatelnostei”, Primenenie funktsionalnogo analiza v teorii priblizhenii, TvGU, Tver, 2007, 8–13

[5] Verkhoturova M. A., “O tochnoi konstante $A^{[4](1,3,4,5)}_H$”, Primenenie funktsionalnogo analiza v teorii priblizhenii, TvGU, Tver, 2009, 3–6

[6] Dvait G. B., Tablitsy integralov i drugie matematicheskie formuly, Nauka, M., 1978, 228 pp.

[7] Kogan E. S., Nekotorye metody polucheniya tochnykh i ekstremalnykh konstant v otsenkakh priblizheniya lineinymi operatorami funktsii klassov $Lip_{M}\alpha$, avtoref. dis. $\dots$ kand. fiz.-mat. nauk, Krasnoyarsk, 2005, 16 pp.

[8] Sherstyuk T. Yu., O priblizhenii operatorami Baskakova funktsii, imeyuschikh konechnoe chislo tochek razryva proizvodnykh, avtoref. dis. $\dots$ kand. fiz.-mat. nauk, Krasnoyarsk, 2011, 16 pp.