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On submultiplicativity of an N -function and its conjugate
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2015 (English)In: Aequationes Mathematicae, ISSN 0001-9054, E-ISSN 1420-8903, Vol. 89, no 3, p. 569-573Article in journal (Refereed) Published
Abstract [en]

It is shown that if an N-function φ is submultiplicative, then its conjugate function φ* cannot be submultiplicative. Moreover, we have the following characterization of power functions among N-functions: if an N-function φ is C 1-submultiplicative and its conjugate function φ* is C 2-submultiplicative for some C 1, C 2 > 0, then φ is equivalent to a power function.

Place, publisher, year, edition, pages
2015. Vol. 89, no 3, p. 569-573
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-8082DOI: 10.1007/s00010-013-0240-8ISI: 000355656500010Scopus ID: 2-s2.0-84934878234Local ID: 685511e1-b0ec-4726-92c0-940047eb274dOAI: oai:DiVA.org:ltu-8082DiVA, id: diva2:980972
Note

Validerad; 2015; Nivå 2; 20150608 (andbra)

Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2019-06-19Bibliographically approved

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