International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 1, Pages 39-46
doi:10.1155/S0161171289000050
A bounded consistency theorem for strong summabilities
C.S. Chun
and A.R. Freedman
Department of Mathematics and Statistics, Simon Fraser University, Burnaby V5A 1S6, Canada
Abstract
The study of R-type summability methods is continued in this paper by showing that two such methods are identical on the bounded portion of the strong summability field associated with the methods. It is shown that this “bounded consistency” applies for many non-matrix methods as well as for regular matrix methods.