In:
Mathematische Nachrichten, Wiley, Vol. 287, No. 13 ( 2014-09), p. 1530-1544
Kurzfassung:
For , the symmetric functions are defined by urn:x-wiley:dummy:mana201300073:equation:mana201300073-math-0003 where , and are non‐negative integers. In this paper, the Schur convexity, geometric Schur convexity and harmonic Schur convexity of are investigated. As applications, Schur convexity for the other symmetric functions is obtained by a bijective transformation of independent variable for a Schur convex function, some analytic and geometric inequalities are established by using the theory of majorization, in particular, we derive from our results a generalization of Sharpiro's inequality, and give a new generalization of Safta's conjecture in the n ‐dimensional space and others.
Materialart:
Online-Ressource
ISSN:
0025-584X
,
1522-2616
DOI:
10.1002/mana.v287.13
DOI:
10.1002/mana.201300073
Sprache:
Englisch
Verlag:
Wiley
Publikationsdatum:
2014
ZDB Id:
124035-3
ZDB Id:
1468223-0
SSG:
17,1
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