A class of statistical and σ -conservative matrices

Hüsamettin Çoşkun; Celal Çakan

Czechoslovak Mathematical Journal (2005)

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

Abstract

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

How to cite

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Çoşkun, 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

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  9. 10.1215/S0012-7094-63-03009-6, Duke Math.  J. 30 (1963), 81–94. (1963) Zbl0125.03201MR0154005DOI10.1215/S0012-7094-63-03009-6
  10. 10.1090/S0002-9939-1972-0306763-0, Proc. Amer. Math. Soc. 36 (1972), 104–110. (1972) Zbl0255.40003MR0306763DOI10.1090/S0002-9939-1972-0306763-0
  11. 10.1016/0022-247X(69)90203-0, J.  Math. Anal. Appl. 26 (1969), 640–655. (1969) Zbl0176.46001MR0241957DOI10.1016/0022-247X(69)90203-0

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