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On some inequalities of the Grüss-Barnes and Borell type
Department of Mathematics, University of Zagreb.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1994 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 187, no 1, 306-323 p.Article in journal (Refereed) Published
Abstract [en]

Some new generalizations of the Grüss-Barnes and Borell inequalities are proved. A new proof, using the classical Chebyshev inequality, for the case of two functions is presented and applied. A crucial inequality for $n$ functions by C. Borell \ref[J. Math. Anal. Appl. 41 (1973), 300--312; MR0315073 (47 \#3622)] is also discussed. Some recent results are sharpened and complemented. Interpolated or weighted versions of some of the inequalities are pointed out.

Place, publisher, year, edition, pages
1994. Vol. 187, no 1, 306-323 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-11295Local ID: a3c07d80-b78b-11db-abff-000ea68e967bOAI: oai:DiVA.org:ltu-11295DiVA: diva2:984245
Note
Godkänd; 1994; 20070208 (kani)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

Open Access in DiVA

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