On the statistical and σ-cores

Hüsamettın Çoşkun, Celal Çakan, and Mursaleen. "On the statistical and σ-cores." Studia Mathematica 154.1 (2003): 29-35. <http://eudml.org/doc/284914>.

@article{HüsamettınÇoşkun2003,
abstract = {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 $(S ∩ m, V_\{σ\})_\{reg\}$ and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.},
author = {Hüsamettın Çoşkun, Celal Çakan, Mursaleen},
journal = {Studia Mathematica},
keywords = {statistical convergence; core theorems and -regular matrices},
language = {eng},
number = {1},
pages = {29-35},
title = {On the statistical and σ-cores},
url = {http://eudml.org/doc/284914},
volume = {154},
year = {2003},
}

TY - JOUR
AU - Hüsamettın Çoşkun
AU - Celal Çakan
AU - Mursaleen
TI - On the statistical and σ-cores
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 1
SP - 29
EP - 35
AB - 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 $(S ∩ m, V_{σ})_{reg}$ and determine necessary and sufficient conditions for a matrix A to satisfy σ-core(Ax) ⊆ st-core(x) for all x ∈ m.
LA - eng
KW - statistical convergence; core theorems and -regular matrices
UR - http://eudml.org/doc/284914
ER -