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

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https://hdl.handle.net/10037/24834
DOI
https://doi.org/10.7153/jmi-2020-14-41
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Date
2020-09
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Abramovich, Shoshana; Persson, Lars Erik
Abstract
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.
Publisher
Element d.o.o.
Citation
Abramovich, Persson LE. Rearrangements and jensen type inequalities related to convexity, superquadracity, strong convexity and 1-quasiconvexity. Journal of Mathematical Inequalities. 2020;14(3):641-659
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Copyright 2020 The Author(s)