An Inequality Concerning Polynomial Norms and Their Coefficients

Sung Guen Kim

An Inequality Concerning Polynomial Norms and Their Coefficients

Sung Guen Kim

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

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

@article{28963444d0bb49bd8e2dd020b9c51eaf,

title = "An Inequality Concerning Polynomial Norms and Their Coefficients",

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.",

keywords = "Banach spaces, Coefficients, Hypercube, Inequality, Polynomial norms",

author = "Kim, \{Sung Guen\}",

year = "1998",

language = "English",

volume = "29",

pages = "277--283",

journal = "Indian Journal of Pure and Applied Mathematics",

issn = "0019-5588",

publisher = "Indian National Science Academy",

number = "3",

}

TY - JOUR

T1 - An Inequality Concerning Polynomial Norms and Their Coefficients

AU - Kim, Sung Guen

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

KW - Banach spaces

KW - Coefficients

KW - Hypercube

KW - Inequality

KW - Polynomial norms

UR - https://www.scopus.com/pages/publications/0348193677

M3 - Article

AN - SCOPUS:0348193677

SN - 0019-5588

VL - 29

SP - 277

EP - 283

JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 3

ER -

An Inequality Concerning Polynomial Norms and Their Coefficients

Abstract

Keywords

Other files and links

Fingerprint

Cite this