Rearrangements and Jensen type inequalities related to convexity, superquadracity, strong convexity and 1-quasiconvexity

• In this paper we derive and discuss some newtheorems related to all rearrangementsof a given set inRn, denoted(x)and use the results to prove some new Jensen type inequalitiesfor convex, superquadratic, strongly convex and 1-quasiconvex functions.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Inequalities

Jensen’s inequality

rearrangements

circular rearrangements

convexity

superquadracity

strongconvexity

1-quasiconvexity

Matematik

Mathematics

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