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This article is cited in 7 scientific papers (total in 7 papers)
Zolotarev problem in the metric of $L_1([-1,1])$
È. M. Galeev M. V. Lomonosov Moscow State University, USSR
Abstract:
In this paper we solve the problem of the determination of a polynomial of degree n with given two leading coefficients which has the least deviation from zero in the metric of $L_1([-1,1])$. The extremal polynomial is expressed in the form of some linear combination of Chebyshev polynomials of the second kind.
Received: 05.07.1974
Citation:
È. M. Galeev, “Zolotarev problem in the metric of $L_1([-1,1])$”, Mat. Zametki, 17:1 (1975), 13–20; Math. Notes, 17:1 (1975), 9–13
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https://www.mathnet.ru/eng/mzm7218 https://www.mathnet.ru/eng/mzm/v17/i1/p13
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Abstract page: | 348 | Full-text PDF : | 175 | First page: | 1 |
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