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Uniform approximation by algebraic polynomials on the sphere of an odd-dimensional space

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Literature cited

  1. S. M. Nikol'skii and P. I. Lizorkin, “Approximation by spherical polynomials,” Trudy Mat. Inst. Akad. Nauk SSSR,166, 186–200 (1984).

    Google Scholar 

  2. S. B. Stechkin, “On the order of the best approximations of continuous functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 3, 219–242 (1951).

    Google Scholar 

  3. A. P. Terekhin, “A bounded group of operators, and best approximation,” Diff. Uravn. Vychisl, Mat. (Saratov Univ.), No. 2, 3–28 (1975).

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  4. A. F. Timan, Theory of Approximation of Functions of a Real Variable [in Russian], Fizmatgiz, Moscow (1960).

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Translated from Matematicheskie Zametki, Vol. 41, No. 3, pp. 333–341, March, 1987.

The author is grateful to S. M. Nikol'skii and P. I. Lizorkin for their detailed examination of the manuscript, for a series of useful advice and remarks, directed toward both the improvement of the paper and the continuation of the investigation.

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Terekhin, A.P. Uniform approximation by algebraic polynomials on the sphere of an odd-dimensional space. Mathematical Notes of the Academy of Sciences of the USSR 41, 190–195 (1987). https://doi.org/10.1007/BF01158247

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  • DOI: https://doi.org/10.1007/BF01158247

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