A Turán inequality arising in information theory

R. J. McEliece; B. Reznick; J. B. Shearer

doi:10.1137/0512078

A Turán inequality arising in information theory

R. J. McEliece, B. Reznick, J. B. Shearer

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a strengthened version of a polynomial inequality recently obtained by Davisson et al. in a paper on information theory. It is of a type originally obtained by Turán for the family of Legendre polynomials.

Original language	English (US)
Pages (from-to)	931-934
Number of pages	4
Journal	SIAM Journal on Mathematical Analysis
Volume	12
Issue number	6
DOIs	https://doi.org/10.1137/0512078
State	Published - 1981

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title = "A Tur{\'a}n inequality arising in information theory",

abstract = "We present a strengthened version of a polynomial inequality recently obtained by Davisson et al. in a paper on information theory. It is of a type originally obtained by Tur{\'a}n for the family of Legendre polynomials.",

author = "McEliece, \{R. J.\} and B. Reznick and Shearer, \{J. B.\}",

year = "1981",

doi = "10.1137/0512078",

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pages = "931--934",

journal = "SIAM Journal on Mathematical Analysis",

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AU - McEliece, R. J.

AU - Reznick, B.

AU - Shearer, J. B.

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N2 - We present a strengthened version of a polynomial inequality recently obtained by Davisson et al. in a paper on information theory. It is of a type originally obtained by Turán for the family of Legendre polynomials.

AB - We present a strengthened version of a polynomial inequality recently obtained by Davisson et al. in a paper on information theory. It is of a type originally obtained by Turán for the family of Legendre polynomials.

U2 - 10.1137/0512078

DO - 10.1137/0512078

M3 - Article

SN - 0036-1410

VL - 12

SP - 931

EP - 934

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

IS - 6

ER -

A Turán inequality arising in information theory

Abstract

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