ESTIMATION OF SPEED IN DYNAMIC PROCESS WITH DIFFERENTIABLE FUNCTIONS WITH CONSTRAINS
Rubrics: ARTICLES
Abstract and keywords
Abstract (English):
For a random number triplet expressing constrains to norms of function and its derivatives, through the use of adamar inequality, Kolmogorov's comparison theorem and specially constructed splines lower estimate of speed-in-action is calculated on class of functions with absolutely continuous derivatives and with considerably constrained derivative of the second order.

Keywords:
bystrodeystvie, neravenstvo Adamara, teorema sravneniya Kolmogorova, splayny Eylera, konstanty Favara, ocenki norm proizvodnyh
References

1. Gabushin V.N., Dmitriev N.P. O teoremah sravneniya // Metody splayn-funkciy. Vychislitel'nye sistemy. Novosibirsk, 1979. Vyp. 81.

2. Dubovik V.K., Korenblyum B.I. Neravenstvo tipa Adamara-Kolmogorova pri nalichii svyazey // Matematicheskie zametki. 1969. T. 5.

3. Kolmogorov A.N. O neravenstvah mezhdu verhnimi granyami posledovatel'nyh proizvodnyh proizvol'noy funkcii na beskonechnom intervale // Uch. zap. Mosk. un-ta. 1938. Vyp. 30. Matematika. Kn. 3.

4. Kochubievskiy I.D. O vybore sistemy, obladayuschey predel'nym bystrodeystviem // Doklady AN SSSR. 1980. T. 250. № 6.

5. Cavaretta A.S. An elementary proof of Kolmogorov's theorem // Amer. Math. Mon. 1974. - 81. № 5.

6. Hadamard J. Sur le module maximum d'une function et de ses derives // Soc. Math. France. Comptes rendus des Seanses. 1914. 41.


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