A new proof of the monotonicity property of power means

Journal of Inequalities in Pure and Applied Mathematics

Volumn 5, Issue 3, 2004, Pages 1-2

  Witkowski, Alfred ^a  

^a NONE   (Poland)

Author keywords

Convexity; Monotonicity; Power Means

Indexed keywords

EID: 4644291977     PISSN: 14435756     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. P.S. BULLEN, D.S. MITRINOVIĆ AND P.M. VASIĆ, Means and their Inequalities, D. Reidel, Dordrecht, 1998.
2. G.H. HARDY, J.E. LITTLEWOOD AND G. POLYA, Inequalities, 2nd ed. Cambridge University Press, Cambridge, 1952.
3. A.McD. MERCER, A monotonicity property of power means, J. Ineq. Pure and Appl. Math., 3(3) (2002), Article 40. [ONLINE: http://jipam.vu.edu.au/article. php?sid=192].
4. A.McD. MERCER, A variant of Jensen's inequality, J. Ineq. Pure and Appl. Math., 4(4) (2003), Article 73. [ONLINE: http://jipam.vu.edu.au/article.php?sid= 314].
5. A. WITKOWSKI, A new proof of the monotonicity of power means, J. Ineq. Pure and Appl. Math., 5(1) (2004), Article 6. [ONLINE: http://jipam.vu.edu.au/ article.php?sid=358].