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On γ-quasiconvexity, superquadracity and two-sided reversed Jensen type inequalities
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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
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- Samko, Natasha (author)
- Luleå tekniska universitet,Matematiska vetenskaper
- (creator_code:org_t)
- Element d.o.o. 2015
- 2015
- English.
- In: Mathematical Inequalities & Applications. - : Element d.o.o.. - 1331-4343 .- 1848-9966. ; 18:2, s. 615-627
- Journal article (peer-reviewed)
Abstract
Subject headings
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- In this paper we deal with γ -quasiconvex functions when −1γ 0, to derive sometwo-sided Jensen type inequalities. We also discuss some Jensen-Steffensen type inequalitiesfor 1-quasiconvex functions. We compare Jensen type inequalities for 1-quasiconvex functionswith Jensen type inequalities for superquadratic functions and we extend the result obtained forγ -quasiconvex functions to more general classes of functions.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Mathematics
- Matematik
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- ref (subject category)
- art (subject category)
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