In [5] and [10], statistical-conservative and -conservative matrices were characterized. In this note we have determined a class of statistical and -conservative matrices studying some inequalities which are analogous to Knopp’s Core Theorem.
In [11] and [7], the concepts of σ-core and statistical core of a bounded number sequence x have been introduced and also some inequalities which are analogues of Knopp’s core theorem have been proved. In this paper, we characterize the matrices of the class and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.
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