Skip to main content
Log in

Norms of trigonometric polynomials

  • Published:
Siberian Mathematical Journal 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. S. M. Nikol'skii, Linear Methods of Summing Fourier Series, Izv. Akad. Nauk SSSR, Sc., Matem.,12, 259–278 (1918).

    Google Scholar 

  2. S. B. Stechkin, Coefficients for Trigonometric Polynomials, Dokl. Akad. Nauk SSSR,75, 165–168 (1950).

    Google Scholar 

  3. A. F. Timan, Linear Processes for Approximation by Algebraic Polynomials, Lebesgue Functions: and Certain Applications to Fourier Series, Dokl. Akad. Nauk SSSR,101, No. 2, 221–224 (1955).

    Google Scholar 

  4. I. M. Ganzburg and A. F. Timan, Linear Processes of the Approximation by Algebraic Polynomials of Functions which Satisfy the Lipschitz Condition, Izv. Akad. Nauk SSSR, Ser. Matem.,22, 771–810 (1958).

    Google Scholar 

  5. A. V. Efimov, Linear Methods of Summing Fourier Series, Izv. Akad. Nauk SSSR, Ser. Matem.,24, 743–756 (1960).

    Google Scholar 

  6. A. V. Efumov, Evaluation of an Integral from the Modulus of a Polynomial on the Unit Circle, Usp. Matem. Nauk,15, No. 4, 215–218 (1960).

    Google Scholar 

  7. S. A. Telyadovskii, Norms of Trigonometric Polynomials and Approximation of Differentiable Functions by Linear Mean Values of Their Fourier Series, I. Trudy Matem. Inst. im. V. A. Steklov, Akad. Nauk SSSR,62, 61–97 (1961).

    Google Scholar 

  8. S. A. Telyakovskii, Norms of Trigonometric Polynomials and Approximation of Differentiable Functions by Linear Mean Values of Their Fourier Series, II, Izv. Akad. Nauk SSSR, Ser. Matem.,27, 253–272 (1963).

    Google Scholar 

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

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 9, No. 1, pp. 67–76, January–February, 1968.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zakharov, A.A. Norms of trigonometric polynomials. Soviet Mathematical Journal 9, 51–58 (1968). https://doi.org/10.1007/BF02196655

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02196655

Keywords

Navigation