# Some Coefficient Estimates for Polynomials on the Unit Interval

Serdica Mathematical Journal (2007)

- Volume: 33, Issue: 4, page 449-474
- ISSN: 1310-6600

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topQazi, M. A., and Rahman, Q. I.. "Some Coefficient Estimates for Polynomials on the Unit Interval." Serdica Mathematical Journal 33.4 (2007): 449-474. <http://eudml.org/doc/281483>.

@article{Qazi2007,

abstract = {2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.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.},

author = {Qazi, M. A., Rahman, Q. I.},

journal = {Serdica Mathematical Journal},

keywords = {Polynomials; Inequality; Weighted Lp Norm; polynomials; inequality; weighted norm},

language = {eng},

number = {4},

pages = {449-474},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Some Coefficient Estimates for Polynomials on the Unit Interval},

url = {http://eudml.org/doc/281483},

volume = {33},

year = {2007},

}

TY - JOUR

AU - Qazi, M. A.

AU - Rahman, Q. I.

TI - Some Coefficient Estimates for Polynomials on the Unit Interval

JO - Serdica Mathematical Journal

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 33

IS - 4

SP - 449

EP - 474

AB - 2000 Mathematics Subject Classification: 26C05, 26C10, 30A12, 30D15, 42A05, 42C05.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.

LA - eng

KW - Polynomials; Inequality; Weighted Lp Norm; polynomials; inequality; weighted norm

UR - http://eudml.org/doc/281483

ER -

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