International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 501-506
doi:10.1155/S0161171290000722
Convexity preserving summability matrices
C.R. Selvaraj
Pennsylvania State University, Shenango Valley Campus, 147 Shenango Avenue, Sharon 16146, PA, USA
Abstract
The main result of this paper gives the necessary and sufficient conditions for the Abel matrices to preserve the convexity of sequences. Also, the higher orders of the Cesáro method are shown to be convexity-preserving matrices.