Geodesic
Some Coefficient Estimates for Polynomials on the Unit Interval
Serdica Mathematical Journal, Tome 33 (2007) no. 4, pp. 449-474

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In this paper we present some inequalities about the moduli of the coefficients of polynomials of the form f (x) : = еn = 0nan xn, where a0, ј, an О C. They can be seen as generalizations, refinements or analogues of the famous inequality of P. L. Chebyshev, according to which |an| Ј 2n-1 if | еn = 0n an xn | Ј 1 for -1 Ј x Ј 1.
Keywords: Polynomials, Inequality, Weighted Lp Norm 
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     author = {Qazi, M. A. and Rahman, Q. I.},
     title = {Some {Coefficient} {Estimates} for {Polynomials} on the {Unit} {Interval}},
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Qazi, M. A.; Rahman, Q. I. Some Coefficient Estimates for Polynomials on the Unit Interval. Serdica Mathematical Journal, Tome 33 (2007) no. 4, pp. 449-474. http://geodesic.mathdoc.fr/item/SMJ2_2007_33_4_a4/