International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 687825, 12 pages
doi:10.1155/2011/687825
Research Article

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

Applied Functional Analysis Team, Department of Mathematics and Computer Science, Faculty of Science, Moulay Ismaïl University, P.O. Box 11201, Meknèes, Morocco

Received 4 December 2010; Accepted 9 February 2011

Academic Editor: B. N. Mandal

Copyright © 2011 Mustapha Raïssouli. 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.

Abstract

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.