Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
Copyright © 2011 Peng Gao. 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.
The following inequality for and originates from a study of Hardy, Littlewood, and Pólya: . Levin and Stečkin proved the previous inequality with the best constant for . In this paper, we extend the result of Levin and Stečkin to .