Geodesic
On the statistical and $\sigma $-cores
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
Studia Mathematica, Tome 154 (2003) no. 1, pp. 29-35 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $x \in m$.
DOI : 10.4064/sm154-1-3
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

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 
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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

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