Lacunary strong ( A σ , p ) -convergence

Tunay Bilgin

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 3, page 691-697
  • ISSN: 0011-4642

Abstract

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The definition of lacunary strongly convergence is extended to the definition of lacunary strong ( A σ , p ) -convergence with respect to invariant mean when A is an infinite matrix and p = ( p i ) is a strictly positive sequence. We study some properties and inclusion relations.

How to cite

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Bilgin, Tunay. "Lacunary strong $(A_\sigma , p)$-convergence." Czechoslovak Mathematical Journal 55.3 (2005): 691-697. <http://eudml.org/doc/30979>.

@article{Bilgin2005,
abstract = {The definition of lacunary strongly convergence is extended to the definition of lacunary strong $(A_\{\sigma \}, p)$-convergence with respect to invariant mean when $A$ is an infinite matrix and $p = (p_i)$ is a strictly positive sequence. We study some properties and inclusion relations.},
author = {Bilgin, Tunay},
journal = {Czechoslovak Mathematical Journal},
keywords = {lacunary sequence; invariant convergence; infinite matrix; lacunary sequence; invariant convergence; infinite matrix},
language = {eng},
number = {3},
pages = {691-697},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Lacunary strong $(A_\sigma , p)$-convergence},
url = {http://eudml.org/doc/30979},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Bilgin, Tunay
TI - Lacunary strong $(A_\sigma , p)$-convergence
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 3
SP - 691
EP - 697
AB - The definition of lacunary strongly convergence is extended to the definition of lacunary strong $(A_{\sigma }, p)$-convergence with respect to invariant mean when $A$ is an infinite matrix and $p = (p_i)$ is a strictly positive sequence. We study some properties and inclusion relations.
LA - eng
KW - lacunary sequence; invariant convergence; infinite matrix; lacunary sequence; invariant convergence; infinite matrix
UR - http://eudml.org/doc/30979
ER -

References

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  9. Strongly summable sequence spaces defined by a modulus, Indian J.  Pure Appl. Math. 25 (1994), 621–625. (1994) MR1285224
  10. Lacunary strong convergence with respect to a sequence of modulus functions, Comment. Math. Univ. Carolin. 36 (1995), 69–76. (1995) MR1334415
  11. Lacunary strong σ -convergence, Indian J.  Pure Appl. Math. 21 (1990), 359–365. (1990) MR1050848
  12. 10.1090/S0002-9939-1972-0306763-0, Proc. Amer. Math. Soc. 36 (1972), 104–110. (1972) MR0306763DOI10.1090/S0002-9939-1972-0306763-0

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