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The ell-p norm of C-I, where C is the Cesaro operator

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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The ell-p norm of C-I, where C is the Cesaro operator. / Jameson, Graham.
In: Mathematical Inequalities and Applications, Vol. 24, No. 2, 30.04.2021, p. 551-557.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Jameson, G 2021, 'The ell-p norm of C-I, where C is the Cesaro operator', Mathematical Inequalities and Applications, vol. 24, no. 2, pp. 551-557.

APA

Jameson, G. (2021). The ell-p norm of C-I, where C is the Cesaro operator. Mathematical Inequalities and Applications, 24(2), 551-557.

Vancouver

Jameson G. The ell-p norm of C-I, where C is the Cesaro operator. Mathematical Inequalities and Applications. 2021 Apr 30;24(2):551-557.

Author

Jameson, Graham. / The ell-p norm of C-I, where C is the Cesaro operator. In: Mathematical Inequalities and Applications. 2021 ; Vol. 24, No. 2. pp. 551-557.

Bibtex

@article{01a2bdc130c14665ab80cb5a266750d2,
title = "The ell-p norm of C-I, where C is the Cesaro operator",
abstract = "For the Cesaro operator C, it is known that ||C-I||_2 = 1. Here we prove that ||C-I||_4 < 3^(1/4) and ||C^T-I||_4 = 3. Bounds for intermediate values of p are derived from the Riesz-Thorin interpolation theorem. An estimate for lower bounds is obtained.",
keywords = "Cesaro, Hardy, inequality, average",
author = "Graham Jameson",
year = "2021",
month = apr,
day = "30",
language = "English",
volume = "24",
pages = "551--557",
journal = "Mathematical Inequalities and Applications",
issn = "1331-4343",
publisher = "Element d.o.o.",
number = "2",

}

RIS

TY - JOUR

T1 - The ell-p norm of C-I, where C is the Cesaro operator

AU - Jameson, Graham

PY - 2021/4/30

Y1 - 2021/4/30

N2 - For the Cesaro operator C, it is known that ||C-I||_2 = 1. Here we prove that ||C-I||_4 < 3^(1/4) and ||C^T-I||_4 = 3. Bounds for intermediate values of p are derived from the Riesz-Thorin interpolation theorem. An estimate for lower bounds is obtained.

AB - For the Cesaro operator C, it is known that ||C-I||_2 = 1. Here we prove that ||C-I||_4 < 3^(1/4) and ||C^T-I||_4 = 3. Bounds for intermediate values of p are derived from the Riesz-Thorin interpolation theorem. An estimate for lower bounds is obtained.

KW - Cesaro

KW - Hardy

KW - inequality

KW - average

M3 - Journal article

VL - 24

SP - 551

EP - 557

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

SN - 1331-4343

IS - 2

ER -