On the Leibniz rule for random variables

Zoltan Leka

doi:10.7153/mia-2018-21-18

On the Leibniz rule for random variables

Zoltan Leka

Department of Mathematics

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

185 Downloads (Pure)

Abstract

We prove a Leibniz-type inequality for the spread of (real-valued) random variablesin terms of their Lp -norms. The result is motivated by the Kato–Ponce inequality and Rieffel’s Leibniz property.

Original language	English
Pages (from-to)	235-249
Number of pages	15
Journal	Mathematical Inequalities & Applications
Volume	21
Issue number	1
DOIs	https://doi.org/10.7153/mia-2018-21-18
Publication status	Published - 2018

Access to Document

10.7153/mia-2018-21-18Licence: CC BY-NC

Accepted ManuscriptAccepted author manuscript, 173 KBLicence: CC BY-NC

MOMENTS: Moment inequalities in matrix algebras
Leka, Z. (Fellow) & Audenaert, K. (Fellow)
European Union
1/09/15 → 31/08/17
Project: Research

Cite this

@article{967df101c88a4cfca23b552e2f09f15a,

title = "On the Leibniz rule for random variables",

abstract = "We prove a Leibniz-type inequality for the spread of (real-valued) random variablesin terms of their Lp -norms. The result is motivated by the Kato–Ponce inequality and Rieffel{\textquoteright}s Leibniz property.",

author = "Zoltan Leka",

year = "2018",

doi = "10.7153/mia-2018-21-18",

language = "English",

volume = "21",

pages = "235--249",

journal = "Mathematical Inequalities & Applications",

issn = "1331-4343",

publisher = "Element d.o.o.",

number = "1",

}

TY - JOUR

T1 - On the Leibniz rule for random variables

AU - Leka, Zoltan

PY - 2018

Y1 - 2018

N2 - We prove a Leibniz-type inequality for the spread of (real-valued) random variablesin terms of their Lp -norms. The result is motivated by the Kato–Ponce inequality and Rieffel’s Leibniz property.

AB - We prove a Leibniz-type inequality for the spread of (real-valued) random variablesin terms of their Lp -norms. The result is motivated by the Kato–Ponce inequality and Rieffel’s Leibniz property.

U2 - 10.7153/mia-2018-21-18

DO - 10.7153/mia-2018-21-18

M3 - Article

SN - 1331-4343

VL - 21

SP - 235

EP - 249

JO - Mathematical Inequalities & Applications

JF - Mathematical Inequalities & Applications

IS - 1

ER -

On the Leibniz rule for random variables

Abstract

Access to Document

Projects

MOMENTS: Moment inequalities in matrix algebras

Cite this