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Approximation by elements of a finite-dimensional subspace of functions from various sobolev or nikol'skii spaces

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Literature cited

  1. 1.

    V. N. Temlyakov, “Diameters of certain classes of functions of several variables,” Dokl. Akad. Nauk SSSR,256, No. 2, 314–317 (1982).

  2. 2.

    V. N. Temlyakov, “On linear bounded methods of approximation of functions,” in: Reports of the Extended Sessions of a Seminar of the I. N. Vekua Institute of Applied Mathematics (Tbilisi, 1985), Vol. 1, No. 2 [in Russian], Tbilis. Gos. Univ., Tbilisi (1985), pp. 144–147.

  3. 3.

    K. Hollig, “Diameters of classes of smooth functions,” in: Quantitative Approximation (Proc. Internat. Sympos., Bonn, 1979), Academic Press, New York (1980), pp. 163–175.

  4. 4.

    V. N. Temlyakov, “Approximation of functions with bounded mixed derivatives,” Trudy Mat. Inst. Akad. Nauk SSSR,178, 1–112 (1986).

  5. 5.

    S. M. Nikol'skii, Approximation of Functions of Several Variables and Imbedding Theorems, Springer, New York (1975).

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Translated from Matematicheskie Zametki, Vol. 43, No. 6, pp. 770–785, June, 1988.

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Temlyakov, V.N. Approximation by elements of a finite-dimensional subspace of functions from various sobolev or nikol'skii spaces. Mathematical Notes of the Academy of Sciences of the USSR 43, 444–454 (1988). https://doi.org/10.1007/BF01158514

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Keywords

  • Skii Space