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
1
İnönü Üniversitesi Eğitim Fakültesi 44100-Malatya, Turkey
2
Department of Mathematics Aligarh Muslim University Aligarh-202-002, India
@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},
year = {2003},
volume = {154},
number = {1},
doi = {10.4064/sm154-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm154-1-3/}
}
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AU - Hüsamettın Çoşkun
AU - Celal Çakan
AU - Mursaleen
TI - On the statistical and $\sigma $-cores
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PY - 2003
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%A Mursaleen
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%J Studia Mathematica
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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
