Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Approximation of periodic functions in LP by linear positive methods and multiple moduli of continuity

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

Literature cited

  1. 1.

    A. Benedeck and R. Panzone, “The spaces LP with mixed norm,” Duke Math. J.,28, 301–324 (1961).

  2. 2.

    V. I. Berdyshev, “On Jackson's theorem in LP,” Tr. Mat. Inst. Akad. Nauk SSSR,88, 3–16 (1967).

  3. 3.

    V. A. Yudin, “On modulus of continuity in L2,” Sib. Mat. Zh.,20, No. 2, 449–450 (1979).

  4. 4.

    V. I. Ivanov, “On modulus of continuity in LP,” Mat. Zametki,41, No. 5, 682–686 (1987).

  5. 5.

    L. V. Taikov, “Structural and constructive characteristics of functions of L2,” Mat. Zametki,25, No. 2, 217–223 (1979).

Download references

Author information

Additional information

Translated from Matematicheskie Zametki, Vol. 42, No. 6, pp. 776–785, December, 1987.

The authors thank V. A. Yudin for discussion of these results.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Ivanov, V.I., Pichugov, S.A. Approximation of periodic functions in LP by linear positive methods and multiple moduli of continuity. Mathematical Notes of the Academy of Sciences of the USSR 42, 925–930 (1987). https://doi.org/10.1007/BF01137447

Download citation

Keywords

  • Periodic Function
  • Positive Method
  • Multiple Modulus