Skip to main content
Log in

Best approximation of the operator of second mixed derivative in the metrics of L and C on the plane

  • 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. S. B. Stechkin, “The best approximation of linear operators,” Mat. Zametki,1, No. 2, 137–148 (1967).

    Google Scholar 

  2. V. V. Arestov, “On the uniform regularization of the problem of computation of the values of an operator,” Mat. Zametki,22, No. 2, 231–243 (1977).

    Google Scholar 

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

    Google Scholar 

  4. V. N. Konovalov, “Sharp inequalities for the norms of functions and their third partial and the second mixed or directional derivatives,” Mat. Zametki,23, No. 1, 67–78 (1978).

    Google Scholar 

  5. V. N. Gabushin, “The best approximation of functionals on certain sets,” Mat. Zametki,8, No. 5, 551–562 (1970).

    Google Scholar 

  6. A. P. Buslaev, “On the approximation of the differentiation operator,” Mat. Zametki,29, No. 5, 731–742 (1981).

    Google Scholar 

  7. V. V. Arestov, “On sharp inequalities between the norms of functions and of their derivatives,” Acta Sci. Math.,33, Nos. 3–4, 243–267 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 36, No. 3, pp. 369–375, September, 1984.

The author thanks S. B. Stechkin for the formulation of the problem and assistance with the note and also V. V. Arestov for useful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Timoshin, O.A. Best approximation of the operator of second mixed derivative in the metrics of L and C on the plane. Mathematical Notes of the Academy of Sciences of the USSR 36, 683–686 (1984). https://doi.org/10.1007/BF01141940

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01141940

Keywords

Navigation