Geodesic
Peano's theorem and coplanarity points of space curves
Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 163-183.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study coplanarity points on space differentiable curves and their asymptotic properties. The results make it possible to formulate some general conjectures on the asymptotics of coplanarity points. 
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Yu. G. Nikonorov. Peano's theorem and coplanarity points of space curves. Matematičeskie trudy, Tome 17 (2014) no. 2, pp. 163-183. http://geodesic.mathdoc.fr/item/MT_2014_17_2_a8/

[1] Ivanov V. V., Nikonorov Yu. G., “Asimptotika tochek Lagranzha v formule Teilora”, Sib. matem. zhurn., 36:1 (1995), 86–92 | MR | Zbl

[2] Nikonorov Yu. G., “Ob integralnoi teoreme o srednem”, Sib. matem. zhurn., 34:6 (1993), 150–152 | MR | Zbl

[3] Nikonorov Yu. G., “Asimptotika tochek kasaniya ploskikh krivykh”, Matem. tr., 14:1 (2011), 141–157 | MR

[4] Nikonorov Yu. G., “Asimptotika tochek srednego znacheniya v teoreme Shvartsa dlya razdelennykh raznostei”, Matem. tr., 17:1 (2014), 145–174 | MR

[5] Pogorelov A. V., Differentsialnaya geometriya, 6-e izd., Nauka, M., 1974 | MR

[6] Toponogov V. A., Differentsialnaya geometriya krivykh i poverkhnostei, Fizmatkniga, M., 2012 | Zbl

[7] Genocchi A., Calcolo differenziale e principii di calcolo integrale, pubblicato con aggiunte dal Dr. Giuseppe Peano, Bocca, Turin, 1884 | Zbl

[8] Nikonorov Yu. G., “Asymptotic behavior of support points for planar curves”, J. Math. Anal. Appl., 391:1 (2012), 147–158 | DOI | MR | Zbl

[9] Peano G., Kennedy H. C., Selected Works of Giuseppe Peano, Translated from the Italian and edited, with a biographical sketch and bibliography, by H. C. Kennedy, Toronto Univ. Press, Toronto, Ont.–Buffalo, N.Y., 1973 | MR

[10] Sahoo P. K., Riedel T., Mean Value Theorems and Functional Equations, World Scientific Publishing Co., New Jersey, 1998 | MR | Zbl

[11] Zhang Zhi-Hua, Wu Yu-Dong, Srivastava H. M., “Generalized Vandermonde determinants and mean values”, Appl. Math. Comput., 202:1 (2008), 300–310 | DOI | MR | Zbl