Approaching the Power Logarithmic and Difference Means by Iterative Algorithms Involving the Power Binomial Mean

Correspondence should be addressed to Mustapha Raı̈ssouli, raissouli [email protected] Received 4 December 2010; Accepted 9 February 2011 Academic Editor: B. N. Mandal Copyright q 2011 Mustapha Raı̈ssouli. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Introducing the notion of cross means we give iterative algorithms involving the power binomial mean and converging to the power logarithmic and difference means. At the end, we address a list of open problems derived from our present work.