ABSTRACT
Let be a non-negative matrix and
be the forward difference operator of order n for
. Denote by
the infimum of those U, satisfying the following inequality:
where and
. This paper is focused on the problem of finding
, where A is a matrix operator from
into
. In particular, we apply our results to well known matrix operators such as Copson , Hilbert, and Nörlund.
Notes
No potential conflict of interest was reported by the authors.