Some Coefficient Estimates for Polynomials on the Unit Interval

Qazi, 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 -