Copyright © 2011 Sumit Chandok and T. D. Narang. 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

We generalize and extend Brosowski-Meinardus type results on invariant points from the set of best approximation to the set of -simultaneous approximation. As a consequence some results on -approximation and best approximation are also deduced. The results proved in this paper generalize and extend some of the known results on the subject.