Inclusion relations among methods of four-dimensional summability compounded from given four-dimensional methods
Richard F. Patterson
Abstract
The goals of this paper include the introduction of a new four-dimensional summability method construction by compounding a single four-dimensional method. The examination of this method begins with the characterization of its RH-regularity properties. In addition, the following inclusion and consistent theorems will be presented.
If
The RH-regular matrix transformations of the form B(r m ,s n ) for which r1≤r2≤r3≤⋯ and s1≤s2≤s3≤⋯ constitute a double sequence of consistent family. Other implications and variations will also be presented.