Geodesic
On numerical approximation of differential polynomials
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 2, pp. 39-43 Cet article a éte moissonné depuis la source Math-Net.Ru

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A numerical approximation formula was devised for differential operators of a special form. An absolute approximation error value was indicated. It was shown that the mentioned approximation is accurate for polynomials. 
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A. V. Fryantsev. On numerical approximation of differential polynomials. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 2, pp. 39-43. http://geodesic.mathdoc.fr/item/ISU_2007_7_2_a8/

[1] Danchenko V. I., “Ob approksimativnykh svoistvakh summ vida $\sum_k\lambda_kh(\lambda_k z)$”, Mezhdunarodnaya konferentsiya po differentsialnym uravneniyam i dinamicheskim sistemam, Suzdal, 2006, 86–88

[2] Danchenko V. I., “Ob approksimatsii summami vida $\sum_k\lambda_k h(\lambda_k z)$”, Tretya Petrozavodskaya Mezhdunarodnaya konferentsiya po teorii funktsii kompleksnogo peremennogo, posvyaschennaya 100-letiyu G. M. Goluzina, Petrozavodsk, 2006, 18–20

[3] Fryantsev A. V., “O chislennoi approksimatsii differentsialnykh polinomov”, Sovremennye metody teorii funktsii i smezhnye problemy, Tr. voronezh. zimnei mat. shk., Izd-vo VGU, Voronezh, 2007, 233–234

[4] Danchenko V. I., “Otsenki proizvodnykh naiprosteishikh drobei i drugie voprosy”, Mat. sb., 197:4 (2006), 33–52 | DOI | MR | Zbl

[5] Danchenko V. I., Danchenko D. Ya., “O priblizhenii naiprosteishimi drobyami”, Mat. zametki, 70:4 (2001), 553–559 | DOI | MR | Zbl

[6] Kuvshinov A. A., “O chislennom differentsirovanii analiticheskikh funktsii”, Differentsialnye uravneniya i dinamicheskie sistemy, Tez. dokl., Suzdal, 2006, 133–134