Skip to main content
SpringerLink
Log in

Inverse theorems for approximation of functions regular in convex polygons by exponential polynomials in the integral metric

  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. Yu. I. Mel'nik, “Direct theorems of the approximation of functions regular in convex polygons by exponential polynomials in the integral metric,” Ukr. Mat. Zh.,40, No. 5, 584–591 (1988).

    Google Scholar 

  2. V. K. Dzyadyk, Introduction to the Theory of Uniform Approximation of Functions by Polynomials [in Russian], Nauka, Moscow (1977).

    Google Scholar 

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

    Google Scholar 

  4. A. F. Leont'ev, Series-of Exponential Functions [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  5. Yu. I. Mel'nik, “On representation of regular functions by Dirichlet series in closed convex polygons,” Ukr. Mat. Zh.,29, No. 6, 826–830 (1977).

    Google Scholar 

  6. Yu. I. Mel'nik, “On Dirichlet series of functions regular in convex polygons,” "ibid.,32, No. 6, 837–843 (1980).

    Google Scholar 

  7. A. M. Sedletskii, “Bases of exponential functions in EP spaces on convex polygons,” Izv. Akad. Nauk SSSR, Ser. Mat.,42, No. 5, 1101–1119 (1978).

    Google Scholar 

  8. V. M. Tikhomirov, Some Questions of Approximation Theory [in Russian], Moscow State Univ. (1976).

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    Yu. I. Mel'nik

Authors
  1. Yu. I. Mel'nik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp. 751–757, November–December, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mel'nik, Y.I. Inverse theorems for approximation of functions regular in convex polygons by exponential polynomials in the integral metric. Ukr Math J 40, 633–638 (1988). https://doi.org/10.1007/BF01057182

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01057182

Keywords

Search

Navigation