Skip to main content
Log in

On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials

  • Published:
Mathematische Zeitschrift 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.

References

  1. Aramă, O.: Proprietăti privind monotonia sirului polinoamelor de interpolare ale luiS. N. Bernstein si aplicarea lor la studiul aproximârii functiilor. Acad. R. P. Rom. Fil. Cluj, Studii Cerc. Mat.8, 195–210 (1957). (This article has appeared in Russian translation [Mathematica2 (25) 25–40 (1960)].)

    Google Scholar 

  2. —, andD. Ripianu: Sur la monotonie de la suite des dérivées des polynomes de Bernstein. Mathematica4 (27), 9–19 (1962).

    Google Scholar 

  3. Popoviciu, T.: Les fonctions convexes. Actualités Sci. Ind., No. 992 (1944).

  4. Schoenberg, I. J.: On variation diminishing approximation methods, p. 249–274. In: On numerical approximation, ed.R. E. Langer, Madison: The University of Wisconsin Press 1959.

    Google Scholar 

  5. Stancu, D. D.: The remainder of certain linear approximation formulas in two variables. Journ. SIAM Numer. Anal. Ser. B,1, 137–163 (1964).

    Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stancu, D.D. On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials. Math Z 98, 46–51 (1967). https://doi.org/10.1007/BF01116567

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01116567

Keywords

Navigation