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Rearrangements and jensen type inequalities related to convexity, superquadracity, strong convexity and 1-quasiconvexity
(Journal article; Tidsskriftartikkel; Peer reviewed, 2020-09)
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.
Some new estimates of the ‘Jensen gap’
(Peer reviewed; Journal article; Tidsskriftsartikkel, 2016-02-01)