Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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
MathSciNet review: 760940
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Given a polynomial of degree at most $ n$, we estimate the sum of the moduli of any two of its coefficients in terms of its supremum norm on the unit disk.

References [Enhancements On Off] (What's this?)

  • [1] L. Brickman and St. Ruscheweyh, On bound preserving multipliers for $ H({\mathbf{D}})$ and applications to polynomials, preprint, 1983.
  • [2] H. P. Mulholland, On two extremum problems for polynomials on the unit disc, J. London Math. Soc. 31 (1956), 191-199. MR 0078504 (17:1204e)
  • [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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30C10

Retrieve articles in all journals with MSC: 30C10

Additional Information

Keywords: Bounded analytic functions, pairs of coefficients, polynomials
Article copyright: © Copyright 1984 American Mathematical Society

American Mathematical Society