International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 93-100
doi:10.1155/S0161171297000136
Stečkin inequalities for summability methods
Department of Mathematics, Fudan University, Shanghai 200433, China
Received 30 April 1992; Revised 16 June 1995
Copyright © 1997 Jia-Ding Cao. 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
Stečkin proved an inequality on Fejér means of Fourier series He said, “Proving
similar inequality for other summability method is an interesting problem.” We generalize Stečkin's
inequality and give various applications to summability methods.