Bounds of Jensen’s type inequality and eigenvalues of sturm-liouville system

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this paper, we deal with Jensen’s type inequality, its bounds and refinements, and with eigenvalues of a Sturm-Liouville system. The results are obtained by rearrangements and continuous symmetrization.

Original languageEnglish
Title of host publicationSpringer Optimization and Its Applications
PublisherSpringer International Publishing
Number of pages11
StatePublished - 2012

Publication series

NameSpringer Optimization and Its Applications
ISSN (Print)1931-6828
ISSN (Electronic)1931-6836

Bibliographical note

Publisher Copyright:
© Springer Science+Business Media, LLC 2012.


  • Continuous symmetrization
  • Convex functions
  • Eigenvalues
  • Equimeasurable functions
  • Jensen’s inequalities
  • Sturm-Liouville systems
  • Weighted integrals

ASJC Scopus subject areas

  • Control and Optimization


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