References
Z. Charzynski and A. Kozŀowski, Interpolation of the Chebyshev type on zeros of the derivative of a polynomial (I), (II), (III),Bull. Soc. Sci. Lettres de Lódź (1978),28(8), 1–11,28(9), 1–12,28(10), 1–9.
P. Erdős and G. Grünwald, On polynomials with only real roots,Annals of Math.,40 (1939), 537–548.
G. K. Kristiansen, Some inequalities for algebraic and trigonometric polynomials,J. London Math. Soc. (2),20 (1979), 300–314.
H. Kuhn, Interpolation vorgeschriebener Extremwerte,J. Reine Angew. Math.,238 (1969), 24–31.
A. Lelek and J. Mycielski, Some conditions for a mapping to be a covering,Fund. Math.,49 (1961), 295–300.
J. Mycielski and S. Paszkowski, A generalization of Chebyshev polynomials,Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys.,8 (1960), 433–438.
J. Mycielski, Polynomials with preassigned values at their branching points,Amer. Math. Monthly,77 (8) (1970), 853–855.
Z. Rubinstein, On a mixed-type interpolation problem for real polynomials,Annal. Pol. Math.,XLIV (1984), 49–55.
J. Szabados, On some extremum problems for polynomials,Approximation and Function Spaces, Symp. Gdansk 1979, North-Holland (1981), 731–748.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rubinstein, Z. An interpolation problem for real polynomials by their means between consecutive zeros. Acta Math Hung 48, 53–57 (1986). https://doi.org/10.1007/BF01949048
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01949048