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On the best approximation of differentiation operators

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Literature cited

  1. S. B. Stechkin, “Best approximation of linear operators,” Matem. zametki,1, No. 2, 137–148 (1967).

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  2. A. N. Kolmogorov, “On inequalities between upper bounds of successive derivatives of an arbitrary function on an infinite interval,” Uch. zap. Moscow State University,30, Matematika, Kp. 3, 3–16 (1939).

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Authors and Affiliations

  1. Sverdlovsk Branch of the V. A. Steklov Mathematics Institute, Academy of Sciences of the USSR, USSR

    V. V. Arestov

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  1. V. V. Arestov
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Translated from Matematicheskie Zametki, Vol. 1, No. 2, pp. 149–154, February, 1967.

I wish to express my deep appreciation to S. B. Stechkin for posing the problem and for assistance in the completion of this paper.

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Arestov, V.V. On the best approximation of differentiation operators. Mathematical Notes of the Academy of Sciences of the USSR 1, 100–103 (1967). https://doi.org/10.1007/BF01268057

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  • DOI: https://doi.org/10.1007/BF01268057

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