Inequalities for sums of powers
type: Item
instance of: scholarly article
title: Inequalities for sums of powers
zbMATH Open document ID: 0649.26015
DOI: 10.1016/0022-247X(88)90204-1
author: Zsolt Páles
published in: Journal of Mathematical Analysis and Applications
publication date: 1988-01-01T00:00:00Z
review text: Continuing his work on differences of powers (order reversed in the same issue of the same journal, see the review above) the author this time presents necessary conditions for \[ \prod^{n}_{k=1}(x^{a_ k}+y^{a_ k})^{q_ k}\geq 1\quad (\sum^{n}_{k=1}q_ k=0) \] and also shows that they are sufficient in the same special case as in the previous work. \{Note: It seems that in (i), on page 267, \(\leq\) should stand in place of =.\}
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A24
zbMATH DE Number: 4059751
zbMATH Keywords: extended mean values
zbMATH Keywords: Rolle's theorem
zbMATH Keywords: inequalities
MaRDI profile type: Publication
cites work: Q4195169
cites work: Q5634189
cites work: Inequalities for integral mean values
cites work: On inequalities for products of power sums
cites work: Q3786872
full work available at URL: 0022-247x(88)90204-1
OpenAlex ID: W2063161459
description: scientific article; zbMATH DE number 4059751