2024-03-28T09:18:34Zhttp://uvadoc.uva.es/oai/requestoai:uvadoc.uva.es:10324/406982021-06-24T07:41:19Zcom_10324_32197com_10324_952com_10324_894col_10324_32199
Exponential polynomial inequalities and monomial sum inequalities in p-Newton sequences
Johnson, Charles R.
Marijuán López, Carlos
Pisonero Pérez, Miriam
Yeh, Michael
Producción Científica
We consider inequalities between sums of monomials that hold for all p-Newton
sequences. This continues recent work in which inequalities between sums of two, two-term
monomials were combinatorially characterized (via the indices involved). Our focus is on
the case of sums of three, two-term monomials, but this is very much more complicated. We
develop and use a theory of exponential polynomial inequalities to give a sufficient condition
for general monomial sum inequalities, and use the sufficient condition in two ways. The
sufficient condition is necessary in the case of sums of two monomials but is not known if it
is for sums of more. A complete description of the desired inequalities is given for Newton
sequences of less than 5 terms.
2020-04-01
2020-04-01
2016
info:eu-repo/semantics/article
Czechoslovak Mathematical Journal, 2016, vol. 66. p. 793-819
1572-9141
http://uvadoc.uva.es/handle/10324/40698
10.1007/s10587-016-0293-7
eng
https://link.springer.com/article/10.1007/s10587-016-0293-7
info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
© 2016 Springer
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