Literature cited
A. A. Zhensykbaev, “Monosplines of minimal norm and optimal quadrature formulas,” Usp. Mat. Nauk,36, No. 4, (220), 107–159 (1981).
S. Karlin, “Representation theorems for positive functions,” J. Math. Mech.,12, 599–618 (1963).
S. Karlin and V. Stadden, Chebyshev Systems and Their Application to Analysis and Statistics [Russian translation], Nauka, Moscow (1976).
V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).
A. A. Zhensykbaev, “Extremality of monosplines of minimal defect,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 6, 1175–1198 (1982).
A. A. Zhensykbaev, “The fundamental theorem of algebra for monosplines and its applications,” Int. Conf. Constr. Theory Functions, Varna, May 25–31, 1987, Varna (1987).
R. B. Barrar and H. L. Loeb, “Fundamental theorem of algebra for monosplines and related results,” SIAM, J. Numer. Anal.,17, No. 6, 847–882 (1980).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 50, No. 2, pp. 131–141, August, 1991.
In conclusion, the author would like to thank Professor A. A. Zhensykbaev for his attention to this paper and a large number of useful remarks.
Rights and permissions
About this article
Cite this article
Tishkin, E.V. Snake theorems for monosplines with multiple nodes. Mathematical Notes of the Academy of Sciences of the USSR 50, 861–869 (1991). https://doi.org/10.1007/BF01157576
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01157576