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Classes of functions constructed on the basis of averaging

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Literature Cited

  1. S. M. Nikol'skii, Approximation of Functions of Several Variables and Embedding Theorems [in Russian], 2nd ed., Nauka, Moscow (1977).

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  2. S. M. Nikol'skii and P. I. Lizorkin, “Approximation of functions by spherical polynomials in the Lp metric,” Dokl. Akad. Nauk SSSR,289, No. 2, 285–289 (1986).

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  3. A. P. Terekhin, “Uniform approximation by algebraic polynomials on a sphere in an odddimensional space,” Mat. Zametki,44, No. 3, 333–341 (1986).

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Authors
  1. S. M. Nikol'skii
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  2. P. I. Lizorkin
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Additional information

Dedicated to S. L. Sobolev on the occasion of his 80th birthday.

Moscow. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 5, pp. 181–190, September–October, 1988.

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Nikol'skii, S.M., Lizorkin, P.I. Classes of functions constructed on the basis of averaging. Sib Math J 29, 831–840 (1988). https://doi.org/10.1007/BF00970280

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  • DOI: https://doi.org/10.1007/BF00970280

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