RT info:eu-repo/semantics/article
T1 Exponential polynomial inequalities and monomial sum inequalities in p-Newton sequences
A1 Johnson, Charles R.
A1 Marijuán López, Carlos
A1 Pisonero Pérez, Miriam
A1 Yeh, Michael
K1 Exponential polynomial
K1 Polinomio exponencial
K1 Newton inequality
K1 Desigualdad de Newton
AB We consider inequalities between sums of monomials that hold for all p-Newtonsequences. This continues recent work in which inequalities between sums of two, two-termmonomials were combinatorially characterized (via the indices involved). Our focus is onthe case of sums of three, two-term monomials, but this is very much more complicated. Wedevelop and use a theory of exponential polynomial inequalities to give a sufficient conditionfor general monomial sum inequalities, and use the sufficient condition in two ways. Thesufficient condition is necessary in the case of sums of two monomials but is not known if itis for sums of more. A complete description of the desired inequalities is given for Newtonsequences of less than 5 terms.
PB Springer
SN 1572-9141
YR 2016
FD 2016
LK http://uvadoc.uva.es/handle/10324/40698
UL http://uvadoc.uva.es/handle/10324/40698
LA eng
NO Czechoslovak Mathematical Journal, 2016, vol. 66. p. 793-819
NO Producción Científica
DS UVaDOC
RD 27-dic-2024