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Some new estimates of the ‘Jensen gap’
Department of Mathematics, University of Haifa.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2016 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 2016, article id 39Article in journal (Refereed) Published
Abstract [en]

Let (μ,Ω) be a probability measure space. We consider the so-called ‘Jensen gap’ J(φ,μ,f)=∫ Ω φ(f(s))dμ(s)−φ(∫ Ω f(s)dμ(s)) for some classes of functions φ. Several new estimates and equalities are derived and compared with other results of this type. Especially the case when φ has a Taylor expansion is treated and the corresponding discrete results are pointed out.

Place, publisher, year, edition, pages
2016. Vol. 2016, article id 39
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-12788DOI: 10.1186/s13660-016-0985-4ISI: 000369312400004Scopus ID: 2-s2.0-84957593502Local ID: bf256907-75e4-437a-b057-de61755c6e99OAI: oai:DiVA.org:ltu-12788DiVA, id: diva2:985739
Note
Validerad; 2016; Nivå 2; 20160211 (andbra)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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