Corpus ID: 119138437

# Logarithmic inequalities under an elementary symmetric polynomial dominance order

@article{Sra2015LogarithmicIU,
title={Logarithmic inequalities under an elementary symmetric polynomial dominance order},
author={S. Sra},
journal={arXiv: Classical Analysis and ODEs},
year={2015}
}
• S. Sra
• Published 2015
• Mathematics, Physics
• arXiv: Classical Analysis and ODEs
• We consider a dominance order on positive vectors induced by the elementary symmetric polynomials. Under this dominance order we provide conditions that yield simple proofs of several monotonicity questions. Notably, our approach yields a quick (4 line) proof of the so-called \emph{"sum-of-squared-logarithms"} inequality conjectured in (P.~Neff, B.~Eidel, F.~Osterbrink, and R.~Martin, \emph{Applied Math. \& Mechanics., 2013}; P.~Neff, Y.~Nakatsukasa, and A.~Fischle; \emph{SIMAX, 35, 2014… CONTINUE READING

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