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

Shoshana Abramovich

doi:10.1007/978-1-4614-3498-6_1

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

Shoshana Abramovich

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

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 language	English
Title of host publication	Springer Optimization and Its Applications
Publisher	Springer International Publishing
Pages	1-11
Number of pages	11
DOIs	https://doi.org/10.1007/978-1-4614-3498-6_1
State	Published - 2012

Publication series

Name	Springer Optimization and Its Applications
Volume	68
ISSN (Print)	1931-6828
ISSN (Electronic)	1931-6836

Bibliographical note

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

Keywords

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

ASJC Scopus subject areas

Control and Optimization

Access to Document

10.1007/978-1-4614-3498-6_1

Cite this

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abstract = "In this paper, we deal with Jensen{\textquoteright}s type inequality, its bounds and refinements, and with eigenvalues of a Sturm-Liouville system. The results are obtained by rearrangements and continuous symmetrization.",

keywords = "Continuous symmetrization, Convex functions, Eigenvalues, Equimeasurable functions, Jensen{\textquoteright}s inequalities, Sturm-Liouville systems, Weighted integrals",

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KW - Equimeasurable functions

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KW - Weighted integrals

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

Abstract

Publication series

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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