Average norms of polynomials

Toufik Mansour

doi:10.1016/S0196-8858(03)00100-3

Average norms of polynomials

Toufik Mansour

Department of Mathematics

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

Abstract

We present an explicit formula for the average L_2α-norm over all the polynomials of degree n with coefficients in T, where T is a finite set of complex numbers and α is a positive integer.

Original language	English
Pages (from-to)	698-708
Number of pages	11
Journal	Advances in Applied Mathematics
Volume	32
Issue number	4
DOIs	https://doi.org/10.1016/S0196-8858(03)00100-3
State	Published - May 2004

Bibliographical note

Funding Information:
E-mail address: [email protected], [email protected]. 1Research financed by EC’s IHRP Programme, within the Research Combinatorics in Europe,” grant HPRN-CT-2001-00272.

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0196-8858(03)00100-3

Cite this

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title = "Average norms of polynomials",

abstract = "We present an explicit formula for the average L2α-norm over all the polynomials of degree n with coefficients in T, where T is a finite set of complex numbers and α is a positive integer.",

author = "Toufik Mansour",

note = "Funding Information: E-mail address: [email protected], [email protected]. 1Research financed by EC{\textquoteright}s IHRP Programme, within the Research Combinatorics in Europe,” grant HPRN-CT-2001-00272.",

year = "2004",

month = may,

doi = "10.1016/S0196-8858(03)00100-3",

language = "English",

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N2 - We present an explicit formula for the average L2α-norm over all the polynomials of degree n with coefficients in T, where T is a finite set of complex numbers and α is a positive integer.

AB - We present an explicit formula for the average L2α-norm over all the polynomials of degree n with coefficients in T, where T is a finite set of complex numbers and α is a positive integer.

UR - https://www.scopus.com/pages/publications/2442647406

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DO - 10.1016/S0196-8858(03)00100-3

M3 - Article

AN - SCOPUS:2442647406

SN - 0196-8858

VL - 32

SP - 698

EP - 708

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

IS - 4

ER -

Average norms of polynomials

Abstract

Bibliographical note

ASJC Scopus subject areas

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