In this paper we derive and discuss some new theorems related to all rearrangements of a given set in Rn, denoted (x) and use the results to prove some new Jensen type inequalities for convex, superquadratic, strongly convex and 1-quasiconvex functions.
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- Circular rearrangements
- Jensen's inequality
- Strong convexity, 1-quasiconvexity
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