Applications of quasiconvexity

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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.

Original languageEnglish
Title of host publicationContributions in Mathematics and Engineering
Subtitle of host publicationIn Honor of Constantin Caratheodory
PublisherSpringer International Publishing
Number of pages23
ISBN (Electronic)9783319313177
ISBN (Print)9783319313153
StatePublished - 1 Jan 2016

Bibliographical note

Publisher Copyright:
© Springer International Publishing Switzerland 2016.

ASJC Scopus subject areas

  • General Mathematics


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