Rearrangements, L-Superadditivity and Jensen-Type Inequalities

Shoshana Abramovich
Additional contact information
Shoshana Abramovich: University of Haifa

A chapter in Approximation and Computation in Science and Engineering, 2022, pp 1-15 from Springer

Abstract: Abstract We deal here with the minimum and the maximum of ∑ i = 1 n F a 2 i − 1 , a 2 i , a ∈ ℝ 2 n $$\displaystyle\sum _{i=1}^{n}F\left ( a_{2i-1},a_{2i}\right ) ,\left ( \mathbf {a}\right ) \in \mathbb {R} ^{2n}$$ and of ∑ i = 1 n F a i , a i + 1 , a n + 1 = a 1 , a ∈ ℝ n $$\displaystyle\sum _{i=1}^{n}F\left ( a_{i},a_{i+1}\right ) ,\ \ a_{n+1}=a_{1},\left ( \mathbf {a}\right ) \in \mathbb {R} ^{n}$$ obtained by using rearrangement techniques. The results depend on the arrangement of a $$\left ( \mathbf {a}\right ) $$ and are used in proving Jensen-type inequalities.

Keywords: Rearrangements; Jensen inequality; L-superadditive functions; Convex functions; Strongly convex functions; 1-quasiconvex functions (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84122-5_1

Ordering information: This item can be ordered from
http://www.springer.com/9783030841225

DOI: 10.1007/978-3-030-84122-5_1

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().