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Some new estimates of the ‘Jensen gap’
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- Abramovich, Shoshana (author)
- Department of Mathematics, University of Haifa
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- Persson, Lars-Erik (author)
- Luleå tekniska universitet,Matematiska vetenskaper
- (creator_code:org_t)
- 2016-02-01
- 2016
- English.
- In: Journal of inequalities and applications. - : Springer Science and Business Media LLC. - 1025-5834 .- 1029-242X. ; 2016
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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