Skip to main content
SpringerLink
Log in

Generalized Bernstein polynomials for discontinuous and convex functions

  • Published:
Journal d’Analyse Mathématique 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

References

  1. O. Arama, Proprietâti privin monotonia sirului polinoamelor de interpolare ale lui S. M. Bernstein si aplicarea lor la studiual aproximârii functiilor,Acad. R.P. Rom. Fil. Cluj, Studii Cerc. Math.,8 (1957), 195–210 (A Russian translation appeared inMathematica (Cluj)2(25) (1960), 25–40).

    MathSciNet  Google Scholar 

  2. I. Chlodovsky, Sur la représentation des fonctions discontinues par les polynômes de M.S. Bernstein,Fund. Math.,13 (1929), 62–72.

    Google Scholar 

  3. F. Herzog and J. D. Hill,The Bernstein polynomials for discontinuous functions, Amer. J. Math.,68 (1946); 109–124.

    Article  MATH  MathSciNet  Google Scholar 

  4. A. Jakimovski and D. Leviatan, A property of approximation operators and applications to Tauberian constants,Math. Zeit.,102 (1967), 177–204.

    Article  MATH  MathSciNet  Google Scholar 

  5. D. Leviatan, Tauberian constants for Generalized Hausdorff transforms,J. of the London Math. Soc.,43 (1968), 308–314.

    Article  MATH  MathSciNet  Google Scholar 

  6. G. G. Lorentz, Bernstein polynomials, Toronto University Press (1953).

  7. D. D. Stancu, The remainder of certain linear approximation formulas in two valuables,Journ. SIAM, Numerical Analysis Ser. B,1 (1964), 137–163.

    Article  MathSciNet  Google Scholar 

  8. D. D. Stancu, On the monotonicity of the sequence formed by the first order derivative of the Bernstein polynomials,Math. Zeit.,98 (1967), 46–51.

    Article  MATH  MathSciNet  Google Scholar 

  9. W. B. Temple, Stieltjes integral representation of convex functions,Duke Math. J.,21 (1954), 527–531.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tel-Aviv University, Tel-Aviv, Israel

    Amnon Jakimovski

Authors
  1. Amnon Jakimovski
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jakimovski, A. Generalized Bernstein polynomials for discontinuous and convex functions. J. Anal. Math. 23, 171–183 (1970). https://doi.org/10.1007/BF02795498

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02795498

Keywords

Search

Navigation