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Monotonicity of average power means. / Petrov, A. N.

In: Journal of Mathematical Sciences, Vol. 107, No. 4, 364463, 01.01.2001, p. 4067-4072.

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

Harvard

Petrov, AN 2001, 'Monotonicity of average power means', Journal of Mathematical Sciences, vol. 107, no. 4, 364463, pp. 4067-4072. https://doi.org/10.1023/A:1012492717535

APA

Petrov, A. N. (2001). Monotonicity of average power means. Journal of Mathematical Sciences, 107(4), 4067-4072. [364463]. https://doi.org/10.1023/A:1012492717535

Vancouver

Petrov AN. Monotonicity of average power means. Journal of Mathematical Sciences. 2001 Jan 1;107(4):4067-4072. 364463. https://doi.org/10.1023/A:1012492717535

Author

Petrov, A. N. / Monotonicity of average power means. In: Journal of Mathematical Sciences. 2001 ; Vol. 107, No. 4. pp. 4067-4072.

BibTeX

@article{49c18af725244a478da039f2e6c65733,
title = "Monotonicity of average power means",
abstract = "A new numerical inequality for average power means is presented. Let α, β ∈ [-∞, +∞] and let a = (a,k)k≥1 be a sequence of positive numbers. Consider the operator Mα(a) = (a1α+a2α + ⋯ + akα/k)1/αk≥1. We denote by Mβ o Mα the superposition of these operators. The following assertion is proved: if α < β, then Mβ o Mα(a) ≤ Mα o M β(a).",
author = "Petrov, {A. N.}",
year = "2001",
month = jan,
day = "1",
doi = "10.1023/A:1012492717535",
language = "English",
volume = "107",
pages = "4067--4072",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Monotonicity of average power means

AU - Petrov, A. N.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - A new numerical inequality for average power means is presented. Let α, β ∈ [-∞, +∞] and let a = (a,k)k≥1 be a sequence of positive numbers. Consider the operator Mα(a) = (a1α+a2α + ⋯ + akα/k)1/αk≥1. We denote by Mβ o Mα the superposition of these operators. The following assertion is proved: if α < β, then Mβ o Mα(a) ≤ Mα o M β(a).

AB - A new numerical inequality for average power means is presented. Let α, β ∈ [-∞, +∞] and let a = (a,k)k≥1 be a sequence of positive numbers. Consider the operator Mα(a) = (a1α+a2α + ⋯ + akα/k)1/αk≥1. We denote by Mβ o Mα the superposition of these operators. The following assertion is proved: if α < β, then Mβ o Mα(a) ≤ Mα o M β(a).

UR - http://www.scopus.com/inward/record.url?scp=52549099507&partnerID=8YFLogxK

U2 - 10.1023/A:1012492717535

DO - 10.1023/A:1012492717535

M3 - Article

AN - SCOPUS:52549099507

VL - 107

SP - 4067

EP - 4072

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

M1 - 364463

ER -

ID: 27078338