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- Abramovich, ShoshanaDepartment of Mathematics, University of Haifa (author)
Some new estimates of the ‘Jensen gap’
- Article/chapterEnglish2016
Publisher, publication year, extent ...
- 2016-02-01
- Springer Science and Business Media LLC,2016
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:ltu-12788
- https://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-12788URI
- https://doi.org/10.1186/s13660-016-0985-4DOI
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- Language:English
- Summary in:English
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- SwePubSwePub
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- Validerad; 2016; Nivå 2; 20160211 (andbra)
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- Matematik
- Mathematics
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- Persson, Lars-ErikLuleå tekniska universitet,Matematiska vetenskaper(Swepub:ltu)larserik (author)
- Department of Mathematics, University of HaifaMatematiska vetenskaper (creator_code:org_t)
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- In:Journal of inequalities and applications: Springer Science and Business Media LLC20161025-58341029-242X
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