References in periodicals archive ?
In the next result we characterize those conservative matrices which are stronger than a given factorable matrix.
n]) be a positive coregular factorable matrix and D = ([d.
LIMITATION THEOREM AND TAUBERIAN THEOREMS FOR FACTORABLE MATRICES
The following proposition is a limitation theorem for factorable matrices generalizing the corresponding result of Hardy ([6], Theorem 13) for Riesz methods.
In the following result, again based on properties of Riesz matrices, we generalize Theorem 2 of Rhoades [9] from regular to coregular factorable matrices.
As a further application of our methods we prove two Tauberian theorems for factorable matrices.
one-sided oscillation Tauberian theorem for a factorable matrix).
SUMMABILITY OF SEQUENCES OF 0'S AND 1'S BY FACTORABLE MATRICES
Using the methods developed in the previous section, we will also study summation of 0-1 sequences by factorable matrices.
Keeping this characterization in mind, we describe Hahn properties of bounded summability domain for a factorable matrix.
Note that the application of the correspondence of factorable matrices and their associated Riesz matrix allowed us to avoid long proofs related to Hahn properties theorems.
We introduced for a factorable matrix a notion of its associated Riesz matrix.