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Approximation of functions of several variables by trigonometric polynomials with harmonics from hyperbolic crosses

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Literature cited

  1. K. I. Babenko, “On approximation of periodic functions of several variables of trigonometric polynomials,” Dokl. Akad. Nauk SSSR,132, No. 2, 247–250 (1960).

    Google Scholar 

  2. K. I. Babenko, “On approximation by trigonometric polynomials in a certain class of periodic functions of several variables,” Dokl. Akad. Nauk SSSR,132, No. 5, 982–985 (1960).

    Google Scholar 

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

    Google Scholar 

  4. V. N. Temlyakov, “On estimation of the orthodiameters of the classes of functions with a bounded mixed derivative,” in: Reports on Mathematics and Its Applications. Problems of Pure and Applied Mathematics [in Russian], Vol. 1, No. 1, Moscow, Tula (1987), pp. 3–30.

    Google Scholar 

  5. V. N. Temlyakov, “On approximation of functions from various classes of Sobolev or Nikol'skii by the elements of a fixed finite-dimensional subspace,” Mat. Zametki,43, No. 6, 770–785 (1988).

    Google Scholar 

  6. V. N. Temlyakov, “Approximate reconstruction of periodic functions of several variables,” Mat. Sb.,128, No. 2, 256–268 (1985).

    Google Scholar 

  7. V. N. Temlyakov, “On the reconstruction of periodic functions of several variables from the values at number-theoretical lattice points,” Analysis Mathematica [Budapest, Hungary],12, No. 4, 287–305 (1986).

    Google Scholar 

  8. S. M. Nikol'skii, Approximation of Functions of Several Variables and Embedding Theorems [in Russian], Nauka, Moscow (1969).

    Google Scholar 

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Authors and Affiliations

  1. Mathematical Institute of Academy of Sciences of the USSR, Moscow

    V. N. Temlyakov

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  1. V. N. Temlyakov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 4, pp. 518–524, April, 1989.

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Temlyakov, V.N. Approximation of functions of several variables by trigonometric polynomials with harmonics from hyperbolic crosses. Ukr Math J 41, 451–456 (1989). https://doi.org/10.1007/BF01060624

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  • DOI: https://doi.org/10.1007/BF01060624

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