Skip to main content
Log in

On Approximation by Bernstein–Stancu Polynomials in Movable Compact Disks

  • Published:
Results in Mathematics Aims and scope Submit manuscript

Abstract

In the present paper, we introduce two kinds of complex Bernstein–Stancu polynomials and complex Kantorovich–Stancu polynomials in movable compact disks. Their approximation properties for analytic functions in the movable compact disks are considered.

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.

Similar content being viewed by others

References

  1. Lorentz, G.G.: Bernstein Polynomials, 2nd edn. Chelsea, New York (1986)

    MATH  Google Scholar 

  2. Gal, S.G.: Shape Preserving Approximation by Real and Complex Polynomials. Birkhäuser, Boston (2008)

    Book  MATH  Google Scholar 

  3. Gal, S.G.: Approximation by complex Bernstein–Kantorovich and Stancu–Kantorovich polynomials and their iterates in compact disks. Rev. Anal. Numer. Theor. Approx. (Cluj) 37, 159–168 (2008)

    MATH  MathSciNet  Google Scholar 

  4. Gal, S.G.: Exact orders in simultaneous approximation by complex Bernstein–Stancu polynomials. Revue Anal. Numr. Thor. Approx. (Cluj) 37, 47–52 (2008)

    MATH  MathSciNet  Google Scholar 

  5. Gal, S.G.: Approximation by complex Bernstein–Stancu polynomials in compact disks. Results Math. 53, 245–256 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gadjiev, A.D., Ghorbanalizaeh, A.M.: Approximation properties of a new type Bernstein–Stancu polynomials of one and two variables. Appl. Math. Comput. 216, 890–901 (2010)

    MATH  MathSciNet  Google Scholar 

  7. Wang, M.L., Yu, D.S., Zhou, P.: On approximation by Bernstein–stancu type operators. Appl. Math. Comput. 246, 79–87 (2014)

    MATH  MathSciNet  Google Scholar 

  8. Stancu, D.D.: On a generalization of Bernstein polynomials, Stud. Univ. “Babes-Bolyai”, Ser. Math., 14, 31–44 (1969)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dansheng Yu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, B., Yu, D. On Approximation by Bernstein–Stancu Polynomials in Movable Compact Disks. Results Math 72, 1535–1543 (2017). https://doi.org/10.1007/s00025-017-0669-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00025-017-0669-5

Mathematics Subject Classification

Keywords

Navigation