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Order of the best approximation of partial differential operators

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Literature cited

  1. O. A. Timoshin, “On the best approximation of partial differential operators,” Mat. Zametki,46, No. 1, 78–87 (1989).

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  2. L. Hörmander, The Analysis of Linear Partial Differential Operators, Vol. 1, Theory of Distributions and Fourier Analysis, Springer Verlag, Berlin-New York (1983).

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  3. S. B. Stechkin, “The best approximation of linear operators,” Mat. Zametki,1, No. 2, 137–148 (1967).

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  4. V. V. Arestov, “On sharp inequalities between the norms of functions and of their derivatives,” Acta Sci. Math.,33, Nos. 3–4, 243–267 (1972).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    O. A. Timoshin

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  1. O. A. Timoshin
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Translated from Matematicheskie Zametki, Vol. 48, No. 4, pp. 115–121, October, 1990.

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Timoshin, O.A. Order of the best approximation of partial differential operators. Mathematical Notes of the Academy of Sciences of the USSR 48, 1047–1051 (1990). https://doi.org/10.1007/BF01139607

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  • DOI: https://doi.org/10.1007/BF01139607

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