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Literature Cited
E. Ya. Remez, General Computational Methods of Chebyshev Approximation [in Russian], Izd. AN UkrSSR, Kiev (1957).
J. H. Ahlberg, E. N. Nilson, and J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York (1967).
L. L. Schumaker, “Approximation by splines,” in: Theory and Applications of Spline Functions, T. N. E. Greville, (editor), Academic Press, New York-London (1969).
A. Kh. Turetskii, Theory of Interpolation in Problem Form [in Russian], Vyshéishaya Shkola, Minsk (1968).
S. N. Bernshtein, Extremal Properties of Polynomial [in Russian], ONTI, Leningrad-Moscow (1937).
V. F. Dem'yanov and V. N. Malozemov, Introduction to Minimax [in Russian], Nauka, Moscow (1972).
V. N. Malozemov, “On the deviation of broken lines,” Vestnik Leningrad. Univ., No. 7, 150–153 (1966).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 16, No. 5, pp. 925–938, September–October, 1975.
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Vershik, A.M., Malozemov, V.N. & Pevnyi, A.B. Best piecewise polynomial approximation. Sib Math J 16, 706–717 (1975). https://doi.org/10.1007/BF00967102
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DOI: https://doi.org/10.1007/BF00967102