References
T. Erdélyi, Markov-type estimates for derivatives of polynomials of special type,Acta Math. Hungar.,51 (1988), 421–436.
T. Erdélyi, Remez-type inequalities on the size of generalized polynomials,J. London Math. Soc. 45 (1992), 255–264.
T. Erdélyi, The Remez inequality on the size of polynomials, inApproximation Theory VI, Vol. I, C. K. Chui, L. L. Schumaker, and J. D. Ward, Eds., Academic Press (Boston, 1989), pp. 243–246.
G. Freud,Orthogonal Polynomials, Pergamon Press (Oxford, 1971).
G. G. Lorentz,Approximation of Functions, Holt, Rinehart and Winston, (New York, 1966).
V. S. Videnskii, Extremal estimates for the derivative of a trigonometric polynomial on an interval shorter than the period (in Russian),Dokl. Akad. Nauk SSSR,130 (1960), 13–16.
Author information
Authors and Affiliations
Additional information
This material is based upon work supported by the National Science and Engineering Research Council of Canada (P. B.) and the National Science Foundation under Grant No. DMS-9024901 (T. E.)
Rights and permissions
About this article
Cite this article
Borwein, P., Erdélyi, T. Markov and Bernstein type inequalities on subsets of [−1,1] and [−π, π]. Acta Math Hung 65, 189–194 (1994). https://doi.org/10.1007/BF01874312
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01874312