All matrices are absolutely summable in each row or column.
Since the squares of the elements on each row or column of the two matrices are absolutely summable, the matrices are bounded in strong norm.
In a recent paper [6], the first author jointly with Savaş has extended the result of Das [7] to the E-J matrices; i.e., all conservative E-J matrices are absolutely k th power conservative for k ≥ 1.
It is evident that the matrix function B is absolutely continuous.
In a recent paper by Savaş and Şevli (2007), it was shown that each Cesáro matrix of order, for, is absolutely th power conservative for.
Therefore, the system (18), (19) is absolutely stable if the matrix S 4 ( G, H, C 1, C 2, β, ξ ) is positive definite.
In accordance with Theorem 3, the system (15), (16) is absolutely stable if the matrix S 3 ( G, H, β, ξ ) is positive definite.
-core -core for all bounded sequences if and only if is -regular and is absolutely equivalent to a nonnegative matrix for all bounded sequences.
The goal of this paper is to obtain sufficient and (different) necessary conditions for a series, which is absolutely summable of order by a triangular matrix method,, to be such that is absolutely summable of order by a triangular matrix method.
Strand believes the matrix of an artist's work should be reality because it is absolutely inexhaustible.
