# A class of statistical and $\sigma $-conservative matrices

Hüsamettin Çoşkun; Celal Çakan

Czechoslovak Mathematical Journal (2005)

- Volume: 55, Issue: 3, page 791-801
- ISSN: 0011-4642

## Access Full Article

top## Abstract

top## How to cite

topÇoşkun, Hüsamettin, and Çakan, Celal. "A class of statistical and $\sigma $-conservative matrices." Czechoslovak Mathematical Journal 55.3 (2005): 791-801. <http://eudml.org/doc/30988>.

@article{Çoşkun2005,

abstract = {In [5] and [10], statistical-conservative and $\sigma $-conservative matrices were characterized. In this note we have determined a class of statistical and $\sigma $-conservative matrices studying some inequalities which are analogous to Knopp’s Core Theorem.},

author = {Çoşkun, Hüsamettin, Çakan, Celal},

journal = {Czechoslovak Mathematical Journal},

keywords = {statistical convergence; invariant means; core theorems; matrix transformations; statistical convergence; invariant means; core theorems; matrix transformations},

language = {eng},

number = {3},

pages = {791-801},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A class of statistical and $\sigma $-conservative matrices},

url = {http://eudml.org/doc/30988},

volume = {55},

year = {2005},

}

TY - JOUR

AU - Çoşkun, Hüsamettin

AU - Çakan, Celal

TI - A class of statistical and $\sigma $-conservative matrices

JO - Czechoslovak Mathematical Journal

PY - 2005

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 55

IS - 3

SP - 791

EP - 801

AB - In [5] and [10], statistical-conservative and $\sigma $-conservative matrices were characterized. In this note we have determined a class of statistical and $\sigma $-conservative matrices studying some inequalities which are analogous to Knopp’s Core Theorem.

LA - eng

KW - statistical convergence; invariant means; core theorems; matrix transformations; statistical convergence; invariant means; core theorems; matrix transformations

UR - http://eudml.org/doc/30988

ER -

## References

top- On the statistical and $\sigma $-cores, Studia Math. 153 (2003), 29–35. (2003) MR1949047
- Sublinear functionals and a class of conservative matrices, Bull. Inst. Math. Acad. Sinica 15 (1987), 89–106. (1987) Zbl0632.46008MR0947779
- 10.1090/S0002-9939-97-04000-8, Proc. Amer. Math. Soc. 125 (1997), 3625–3631. (1997) MR1416085DOI10.1090/S0002-9939-97-04000-8
- Matrix transformations of statistical cores of complex sequences, Analysis 20 (2000), 15–34. (2000) MR1757066
- Matrix maps into the space of statistically convergent bounded sequences, Proc. Estonian Acad. Sci. Phys. Math. 45 (1996), 187–192. (1996) Zbl0865.40001MR1426169
- Elements of Functional Analysis, Cambridge University Press, Cambridge, 1970. (1970) Zbl0193.08601MR0390692
- Invariant means and $\sigma $-core, J. Indian Math. Soc. 60 (1984), 151–158. (1984) MR1292133
- 10.1093/qmath/34.1.77, Quart. J. Math. Oxford Ser. 2 34 (1983), 77–86. (1983) Zbl0539.40006MR0688425DOI10.1093/qmath/34.1.77
- 10.1215/S0012-7094-63-03009-6, Duke Math. J. 30 (1963), 81–94. (1963) Zbl0125.03201MR0154005DOI10.1215/S0012-7094-63-03009-6
- 10.1090/S0002-9939-1972-0306763-0, Proc. Amer. Math. Soc. 36 (1972), 104–110. (1972) Zbl0255.40003MR0306763DOI10.1090/S0002-9939-1972-0306763-0
- 10.1016/0022-247X(69)90203-0, J. Math. Anal. Appl. 26 (1969), 640–655. (1969) Zbl0176.46001MR0241957DOI10.1016/0022-247X(69)90203-0

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.