Exponential polynomial inequalities and monomial sum inequalities in p-Newton sequences

Title:

Exponential polynomial inequalities and monomial sum inequalities in p-Newton sequences

Creator:

Charles R Johnson, Marijuán, Carlos, Pisonero, Miriam, and Yeh, Michael

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:183b7c31-eb6b-44d0-b83b-958bef50475e
uuid:183b7c31-eb6b-44d0-b83b-958bef50475e
issn:0011-4642

Subject:

matematika, mathematics, exponential polynomial, Newton inequality, Newton coefficients, p-Newton sequence, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

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., Charles R. Johnson, Carlos Marijuán, Miriam Pisonero, Michael Yeh., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

793-819

Source:

Czechoslovak Mathematical Journal | 2016 Volume:66 | Number:3

Harvested from:

CDK

Metadata only:

false