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Best approximation of linear operators

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Literature cited

  1. A. Sard, Linear Approximation, Amer. Math. Soc., Providence, R. I. (1963).

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  2. S. B. Stechkin, “Inequalities between norms of derivatives of an arbitrary function,” Acta Sci. Math. (Szeged), Vol. 26, (1965), pp. 225–230.

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  3. V. V. Arestov, “Best approximations of differentiation operators” [in Russian], ISM, Tezisykratkikh hauchnykh soobshchenii, Sektsiya 4, Moscow (1966), pp. 31–32.

  4. A. N. Kolmogorov, “Inequalities between upper bounds of consecutive derivatives of an arbitrary function on an infinite interval,” Uch. zap. MGU, 30, Matematika, Vol. 3 (1939), pp. 3–16.

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Authors and Affiliations

  1. Sverdlovsk Section of the V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR, USSR

    S. B. Stechkin

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  1. S. B. Stechkin
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Translated from Matematicheskie Zametki, Vol. 1, No. 2, pp. 137–148, February, 1967.

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Stechkin, S.B. Best approximation of linear operators. Mathematical Notes of the Academy of Sciences of the USSR 1, 91–99 (1967). https://doi.org/10.1007/BF01268056

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  • DOI: https://doi.org/10.1007/BF01268056

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