Skip to main content
Log in

A generalization of G. Faber's theorem on polynomial bases

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. G. Faber, On the interpolatory representation of continuous functions, Deutschen Math.-Ver.,23, 192–210 (1914).

    Google Scholar 

  2. V. F. Nikolaev, The question of approximating continuous functions by polynomials, Dokl. AN SSSR,61, 201–204 (1948).

    Google Scholar 

  3. S. M. Lozinskii, One class of linear operations, Dokl. AN SSSR,61, 193–196 (1948).

    Google Scholar 

  4. Forty Years of Mathematics in the USSR, Vol. 1. Moscow (1959), p. 323.

  5. S. A. Telyakovskii, Norms of linear polynomial operators, Matem. sb.,68, 4, 561–569 (1965).

    Google Scholar 

  6. S. Sidon, On Fourier coefficients, J. London Math. Soc.,13, 3, 181–183 (1938).

    Google Scholar 

  7. P. L. Ul'yanov, Solved and unsolved problems in the theory of trigonometric and orthogonal series, Uspekhi matem. nauk,19, 1, 3–69 (1964).

    Google Scholar 

  8. Z. A. Chanturiya, P. L. Ul'yanov's problem on the order of growth of the degree of a polynomial basis, Matem. zametki,1, 4, 415–424 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 2, No. 2, pp. 187–190, August, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chanturiya, Z.A. A generalization of G. Faber's theorem on polynomial bases. Mathematical Notes of the Academy of Sciences of the USSR 2, 597–599 (1967). https://doi.org/10.1007/BF01094252

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094252

Keywords

Navigation