Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm–Liouville System

Shoshana Abramovich ()
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Shoshana Abramovich: University of Haifa

Chapter Chapter 1 in Nonlinear Analysis, 2012, pp 1-11 from Springer

Abstract: 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.

Keywords: Convex functions; Jensen’s inequalities; Weighted integrals; Continuous symmetrization; Equimeasurable functions; Sturm–Liouville systems; Eigenvalues; 26D15; 34L15; 39B62; 15A42 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_1

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

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