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.