Shi, Huan-Nan and Zhang, Jian (2009) Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional. Research report collection, 12 (3).

Text Schur.pdf Restricted to Repository staff only Download (155kB)

Abstract

The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed. Two refinements of the Čebyšev inequality are obtained.

Item Type:	Article
Uncontrolled Keywords:	Čebyšev functional, Schur-convexity, Schur-geometric concavity, Čebyšev integral inequality
Subjects:	FOR Classification > 0101 Pure Mathematics Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User:	Research Group in Mathematical Inequalities and Applications
Date Deposited:	09 Feb 2012 22:44
Last Modified:	23 May 2013 16:52
URI:	http://vuir.vu.edu.au/id/eprint/17762
ePrint Statistics:	View download statistics for this item

Repository staff only

	View Item

Search Google Scholar