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 18-nov-2024