On pairs of coefficients of bounded polynomials
Authors:
L. Brickman, Q. I. Rahman and St. Ruscheweyh
Journal:
Proc. Amer. Math. Soc. 92 (1984), 533-537
MSC:
Primary 30C10
DOI:
https://doi.org/10.1090/S0002-9939-1984-0760940-1
MathSciNet review:
760940
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Abstract | References | Similar Articles | Additional Information
Abstract: Given a polynomial of degree at most , we estimate the sum of the moduli of any two of its coefficients in terms of its supremum norm on the unit disk.
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L. Brickman and St. Ruscheweyh, On bound preserving multipliers for
and applications to polynomials, preprint, 1983.
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- [3] Q. I. Rahman, Inequalities concerning polynomials and trigonometric polynomials, J. Math. Anal. Appl. 6 (1963), 303-324. MR 0152796 (27:2771)
- [4] O. Szász, Ungleichungen für die Koeffizienten einer Potenzreihe, Math. Z. 1 (1918), 163-183. MR 1544290
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1984-0760940-1
Keywords:
Bounded analytic functions,
pairs of coefficients,
polynomials
Article copyright:
© Copyright 1984
American Mathematical Society