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On Bergh's inequality for quasi-monotone functions
Faculty of Textile Technology, University of Zagreb.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1995 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 195, no 2, p. 393-400Article in journal (Refereed) Published
Abstract [en]

We consider an inverse Hölder type inequality of J. Bergh [Math Z.215 (1994), 205-208] yielding for quasi-concave functions. We prove that this inequality holds in a more general class of functions endowed with two quasimonotonicity growth conditions. Some classes of quasi-monotone functions in mean are introduced and some new Bergh-type inequalities in these classes are proved. Our proofs are short and completely different from that of J. Bergh.

Place, publisher, year, edition, pages
1995. Vol. 195, no 2, p. 393-400
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-4160DOI: 10.1006/jmaa.1995.1362ISI: A1995TA75100006Scopus ID: 2-s2.0-0000199099Local ID: 20e0f360-ba68-11db-b560-000ea68e967bOAI: oai:DiVA.org:ltu-4160DiVA, id: diva2:977024
Note
Godkänd; 1995; 20070125 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Persson, Lars-Erik

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