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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-1-3,
author = {H\"usamett\i n \c Co\c skun and Celal \c Cakan and Mursaleen},
title = {On the statistical and $\sigma$-cores},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {29-35},
zbl = {1006.40006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-1-3}
}
Hüsamettın Çoşkun; Celal Çakan; Mursaleen. On the statistical and σ-cores. Studia Mathematica, Tome 157 (2003) pp. 29-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm154-1-3/