Peano’s theorem and coplanarity points of space curves

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• 作者：Yu. G. Nikonorov
• 关键词：parametric curve in Euclidean space ; smooth curve ; Peano theorem ; coplanarity point
• 刊名：Siberian Advances in Mathematics
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：25
• 期：2
• 页码：124-137
• 全文大小：530 KB
• 参考文献：1.A. Genocchi, Calcolo Differenziale e Principii di Calcolo Integrale, Pubblicato con Aggiunte dal Dr. Giuseppe Peano (Bocca, Turin, 1884).
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  7.G. Peano and H. C. Kennedy, Selected Works of Giuseppe Peano. (Toronto Univ. Press, Toronto, Ont.-Buffalo, N.Y., 1973).
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  9.P. K. Sahoo and T. Riedel,Mean Value Theorems and Functional Equations. (World Scientific Publishing Co., New Jersey, 1998).View Article MATH
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  11.Zhi-Hua Zhang, Yu-Dong Wu, and H. M. Srivastava, “Generalized Vandermonde determinants and mean values,-Appl. Math. Comput. 202, 300 (2008).View Article MATH MathSciNet
  
• 作者单位：Yu. G. Nikonorov (1) (2)
  
  1. Southern Mathematical Institute of the Vladikavkaz Scientific Center of RAS, Vladikavkaz, 362027, Russia
  2. The Government of the Republic of North Osetia-Alania, Vladikavkaz, 362027, Russia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-8126

文摘

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.