Abstract
At a conference held in Varna, Bulgaria in the year 1970 the late Professor P. Turán proposed the following problem
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
E. W. Cheney, Introduction to Approximation Theory, McGraw-Hill, New York, 1966.
V. K. Dzyadyk, Constructive characterization of functions satisfying a condition Lip α(0 <α< 1) on a finite interval of the real axis, Izvestiya Akad. Nauk SSSR, Ser. Mat., 20 (1956), 623–642.
W. A. Markov, Über Polynome, die in einem gegebenen Intervalle möglichst wenig von Null abweichen, Math. Ann., 77 (1916), 218–258.
Q. I. Rahman, On a problem of Turán about polynomials with curved majorants, Trans. Amer. Math. Soc. 163 (1972), 447–455.
G. Pölya und G. Szegő, Aufgaben und Lehrsätze aus der Analysis II, Springer, Berlin, 1925.
G. Szegő, Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publ., vol. XXIII, Third Edition, Amer. Math. Soc., Providence, R. I., 1967.
J. Todd, Introduction to the Constructive Theory of Functions, Academic Press, New York, 1963.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1983 Springer Basel AG
About this chapter
Cite this chapter
Pierre, R., Rahman, Q.I. (1983). On polynomials with curved majorants. In: Erdős, P., Alpár, L., Halász, G., Sárközy, A. (eds) Studies in Pure Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5438-2_47
Download citation
DOI: https://doi.org/10.1007/978-3-0348-5438-2_47
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1288-6
Online ISBN: 978-3-0348-5438-2
eBook Packages: Springer Book Archive