This article is cited in 4 papers

Comparison of Discrete Mixed Means Containing Symmetric Functions

R. Kh. Sadikova

M. V. Lomonosov Moscow State Academy of Fine Chemical Technology

Abstract: We prove inequalities for mixed generalized means; from these inequalities we obtain analogs or generalizations of inequalities due to Ness, to Carlson, Meany, and Nelson, to Godunova, and to Marcus and Minc, etc.

Keywords: discrete mixed mean, strictly monotone continuous function, generalized mean, concave and convex function, symmetric function, Jessen's inequality, Jensen's inequality.

UDC: 517.5

Received: 13.05.2003

DOI: 10.4213/mzm2807

 English version: Mathematical Notes, 2006, 80:2, 254–260

Bibliographic databases:

• 
• 
• 
• 
•