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Zolotarev problem in the metric of \(L_1([-1,1])\). (English) Zbl 0321.41019


MSC:

41A50 Best approximation, Chebyshev systems
Full Text: DOI

References:

[1] P. L. Chebyshev, ?The theory of mechanisms known under the name of parallelograms,? in: Complete Collected Works [in Russian], Vol. II, Moscow-Leningrad (1947), pp. 23-51.
[2] P. L. Chebyshev, ?On interpolation in the case of a large number of data furnished by the observations,? in: Complete Collected Works [in Russian], Vol. II, Moscow-Leningrad (1947), pp. 244-313.
[3] E. I. Zolotarev, ?On a problem on minimal quantities,? in: Complete Collected Works [in Russian], No. 2, Leningrad (1932), pp. 130-166.
[4] N. I. Akhiezer, Theory of Approximations, F. Ungar, New York (1956).
[5] I. M. Vinogradov, The Method of Trigonometric Sums in the Theory of Numbers [in Russian], Moscow (1971). · Zbl 0229.10020
[6] D. D. Oblomievskii, Symmetric Functions [in Russian], SPB (1903).
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