On a result of Flett for Cesáro matrices

Abstract

where {αn} and {βn} are two given positive sequences and k, s > 0, and {tn} is the T transformation of {sn} . Our results extend the related results of Flett [T.M. Flett, On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Soc. 7 (1957) 113–141] and Savas and Sevli [E. Savaş, H. Sevli, On extension of a result of Flett for Cesáro matrices, Appl. Math. Lett. 20 (2007) 476–478]. © 2009 Elsevier Ltd. All rights reserved.

DOI: 10.1016/j.aml.2009.06.023

Cite this paper

@article{Yu2009OnAR, title={On a result of Flett for Ces{\'a}ro matrices}, author={Dansheng Yu}, journal={Appl. Math. Lett.}, year={2009}, volume={22}, pages={1803-1809} }