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On a Problem of Turán about Polynomials HI

Published online by Cambridge University Press:  20 November 2018

R. Pierre  and
Q. I. Rahman
R. Pierre
Affiliation:
Université Laval, Québec, Québec
Q. I. Rahman
Affiliation:
Université Laval, Québec, Québec
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Let

where x: = cos θ, denote the nth degree Chebyshev polynomials of the first and second kind, respectively. Further, let

Given non-negative integers λ and μ we define

and

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 34 , Issue 4 , 01 August 1982 , pp. 888 - 899
Copyright
Copyright © Canadian Mathematical Society 1982

References

References>

1. Cheney, E. W., Introduction to approximation theory (McGraw-Hill Book Company, 1966).Google Scholar
2. P., Erdôs, Some remarks on polynomials, Bull. Amer. Math. Soc. 53 (1947), 1169–1176.Google Scholar
3. Kellogg, O. D., On bounded polynomials in several variables, Math. Z. 27 (1927), 55–64.Google Scholar
4. Pierre, R. and Rahman, Q. I., On a problem of Turân about polynomials. II, Can. J. Math. 88 (1981), 701–733.Google Scholar