On the statistical and σ-cores

• Autorzy: Hüsamettın Çoşkun , Celal Çakan , Mursaleen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A03: Foundations: limits and generalizations, elementary topology of the line
• 40C05: Matrix methods
• 11B05: Density, gaps, topology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 154
• Numer: 1
• Strony: 29-35

Daty

wydano

2003

Twórcy

autor

Hüsamettın Çoşkun

• İnönü Üniversitesi, Eğitim Fakültesi, 44100-Malatya, Turkey

autor

Celal Çakan

• İnönü Üniversitesi, Eğitim Fakültesi, 44100-Malatya, Turkey

autor

Mursaleen

• Department of Mathematics, Aligarh Muslim University, Aligarh-202-002, India

Identyfikatory

DOI

10.4064/sm154-1-3