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Sharp weighted multidimensional integral inequalities of Chebyshev type
Luleå tekniska universitet.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Departamento de Matemàtica, Aplicada i Anàlisi, Universitat de Barcelona.
1999 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 236, no 2, p. 243-253Article in journal (Refereed) Published
Abstract [en]

We prove a general Chebyshev inequality for monotone functions in higher dimensions. This result generalizes the classical one-dimensional inequality and recovers some extensions already known for product weights. In all cases we find the best constant in the inequality. We also consider the case of more general operators.

Place, publisher, year, edition, pages
1999. Vol. 236, no 2, p. 243-253
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-14028DOI: 10.1006/jmaa.1999.6417ISI: 000082040300003Scopus ID: 2-s2.0-0345884763Local ID: d59b4710-7aee-11db-8824-000ea68e967bOAI: oai:DiVA.org:ltu-14028DiVA, id: diva2:986982
Note
Godkänd; 1999; 20061123 (kani)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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