International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 1, Pages 93-100
doi:10.1155/S0161171297000136

Stečkin inequalities for summability methods

Jiading Cao

Department of Mathematics, Fudan University, Shanghai 200433, China

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.