Volume no :32, Issue no: 1, March

Journal of Mathematical Sciences: Advances and Applications

CRITERIA ENLARGEMENT FOR AN INEQUALITY BETWEEN QUASI-ARITHMETIC MEANS

Author's: Božidar Ivanković
Pages: [17] - [35]
Received Date: January 31, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121452

Abstract

Given criteria on differentiable functions for inequalities between a function value calculated on two quasi-arithmetic means and the quasi-arithmetic mean calculating on function values of two variables are enlarged for a case of three quasi-arithmetic means and functions of three variables. Special investigations are analyzed in additional and multiplicative cases.

Keywords

quasi-arithmetic means, convexity, differentiable functions, Hölder type inequalities, Minkowski type inequalities.