On the statistical and $\sigma $-cores
Studia Mathematica, Tome 154 (2003) no. 1, pp. 29-35
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
In [11] and [7], the concepts of
$\sigma $-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 $(S \cap m, V_{\sigma })_{{\rm reg}}$
and determine necessary and sufficient conditions for a matrix $A$ to
satisfy $\sigma $-core$(Ax) \subseteq {}$st-core$(x)$ for all $x \in m$.
Keywords:
concepts sigma core statistical core bounded number sequence have introduced inequalities which analogues knopps core theorem have proved paper characterize matrices class cap sigma reg determine necessary sufficient conditions matrix satisfy sigma core subseteq st core
Affiliations des auteurs :
Hüsamettın Çoşkun 1 ; Celal Çakan 1 ; Mursaleen 2
@article{10_4064_sm154_1_3,
author = {H\"usamett{\i}n \c{C}o\c{s}kun and Celal \c{C}akan and Mursaleen},
title = {On the statistical and $\sigma $-cores},
journal = {Studia Mathematica},
pages = {29--35},
publisher = {mathdoc},
volume = {154},
number = {1},
year = {2003},
doi = {10.4064/sm154-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm154-1-3/}
}
TY - JOUR AU - Hüsamettın Çoşkun AU - Celal Çakan AU - Mursaleen TI - On the statistical and $\sigma $-cores JO - Studia Mathematica PY - 2003 SP - 29 EP - 35 VL - 154 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm154-1-3/ DO - 10.4064/sm154-1-3 LA - en ID - 10_4064_sm154_1_3 ER -
Hüsamettın Çoşkun; Celal Çakan; Mursaleen. On the statistical and $\sigma $-cores. Studia Mathematica, Tome 154 (2003) no. 1, pp. 29-35. doi: 10.4064/sm154-1-3
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