Applications of Quasiconvexity

S. Abramovich ()
Additional contact information
S. Abramovich: University of Haifa, Department of Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 1-23 from Springer

Abstract: Abstract This survey deals with functions called γ-quasiconvex functions and their relations to convexity and superquadracity. For γ-quasiconvex functions and for superquadratic functions, we get analogs of inequalities satisfied by convex functions and we get refinements for those convex functions which are also γ-quasiconvex as well as superquadratic. We show in which cases the refinements by γ-quasiconvex functions are better than those obtained by superquadratic functions and convex functions. The power functions defined on x ≥ 0 where the power is greater or equal to two are examples of convex, quasiconvex, and superquadratic functions.

Keywords: Superquadratic Functions; Survey Deals; Convex Function; Power Function; Type Inequality (search for similar items in EconPapers)
Date: 2016
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:sprchp:978-3-319-31317-7_1

Ordering information: This item can be ordered from
http://www.springer.com/9783319313177

DOI: 10.1007/978-3-319-31317-7_1

Access Statistics for this chapter

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