An Inequality Concerning Polynomial Norms and Their Coefficients

Sung Guen Kim

An Inequality Concerning Polynomial Norms and Their Coefficients

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1 Scopus citations

Abstract

In this paper, lower bounds are given for the norm of a 2-homogeneous polynomial on Banach spaces l_p and c₀. For this, an inequality is obtained which bounds from below the mean value of the polynomial on the vertexes of a hypercube in Rⁿ.

Original language	English
Pages (from-to)	277-283
Number of pages	7
Journal	Indian Journal of Pure and Applied Mathematics
Volume	29
Issue number	3
State	Published - 1998

Keywords

Banach spaces
Coefficients
Hypercube
Inequality
Polynomial norms

Cite this

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abstract = "In this paper, lower bounds are given for the norm of a 2-homogeneous polynomial on Banach spaces lp and c0. For this, an inequality is obtained which bounds from below the mean value of the polynomial on the vertexes of a hypercube in Rn.",

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KW - Banach spaces

KW - Coefficients

KW - Hypercube

KW - Inequality

KW - Polynomial norms

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An Inequality Concerning Polynomial Norms and Their Coefficients

Abstract

Keywords

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