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Snake theorems for monosplines with multiple nodes

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Literature cited

  1. A. A. Zhensykbaev, “Monosplines of minimal norm and optimal quadrature formulas,” Usp. Mat. Nauk,36, No. 4, (220), 107–159 (1981).

    Google Scholar 

  2. S. Karlin, “Representation theorems for positive functions,” J. Math. Mech.,12, 599–618 (1963).

    Google Scholar 

  3. S. Karlin and V. Stadden, Chebyshev Systems and Their Application to Analysis and Statistics [Russian translation], Nauka, Moscow (1976).

    Google Scholar 

  4. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  5. A. A. Zhensykbaev, “Extremality of monosplines of minimal defect,” Izv. Akad. Nauk SSSR, Ser. Mat.,46, No. 6, 1175–1198 (1982).

    Google Scholar 

  6. 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).

  7. 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).

    Google Scholar 

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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.

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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

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