Some properties of a generalized Hamy symmetric function and its applications

This paper is concerned with the generalized Hamy symmetric function∑n(x,r;f)=∑1⩽i1<i2<⋯<ir⩽nf(∏j=1rxij1r), where f is a positive function defined in a subinterval of (0,+∞). Some properties, including Schur-convexity, geometric Schur-convexity and harmonic Schur-convexity are investigated....

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Veröffentlicht in:	Journal of mathematical analysis and applications Jg. 376; H. 2; S. 494 - 505
Hauptverfasser:	Guan, Kaizhong, Guan, Ruke
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier Inc 15.04.2011 Elsevier
Schlagworte:	Algebraic combinatorics Combinatorics Combinatorics. Ordered structures Convexity Exact sciences and technology Functional analysis Functions of a complex variable Hamy symmetric function Inequality Mathematical analysis Mathematics Monotonicity Schur-convexity Sciences and techniques of general use Several complex variables and analytic spaces Schur-convexity Convexity Hamy symmetric function Monotonicity Inequality Mathematical analysis Geometric convexity
ISSN:	0022-247X, 1096-0813
Online-Zugang:	Volltext
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