Symmetric polynomials, p-norm inequalities, and certain functionals related to majorization

Details Symmetric polynomials, p-norm inequalities, and certain functionals related to majorization Symmetric polynomials, p-norm inequalities, and certain functionals related to majorization

2008-06-16

arxiv.org/abs/0806.2686v1

Mathematics

Classical Analysis and ODEs

LaTeX file, 43 pages (1 figure, included as code in LaTeX file). Previously submitted to a refereed journal in February 2007.

Scientific paper

We study a variant of the majorization relation. In particular we consider inequalities involving some Schur-concave symmetric polynomials related to the multinomial expansion. We also discuss how these topics were motivated by conjectures on sharp Lp inequalities between complex exponential sums conjectured by Hardy and Littlewood (still open problems), and why the usual majorization relation does not hold in that context.

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