Lacunary strong convergence with respect to a sequence of modulus functions

Serpil Pehlivan; Brian Fisher

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 1, page 69-76
  • ISSN: 0010-2628

Abstract

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The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.

How to cite

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Pehlivan, Serpil, and Fisher, Brian. "Lacunary strong convergence with respect to a sequence of modulus functions." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 69-76. <http://eudml.org/doc/247777>.

@article{Pehlivan1995,
abstract = {The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.},
author = {Pehlivan, Serpil, Fisher, Brian},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {lacunary sequence; modulus function; statistical convergence; Banach space; lacunary sequence; modulus function; Banach space; statistical convergence},
language = {eng},
number = {1},
pages = {69-76},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Lacunary strong convergence with respect to a sequence of modulus functions},
url = {http://eudml.org/doc/247777},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Pehlivan, Serpil
AU - Fisher, Brian
TI - Lacunary strong convergence with respect to a sequence of modulus functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 1
SP - 69
EP - 76
AB - The definition of lacunary strong convergence is extended to a definition of lacunary strong convergence with respect to a sequence of modulus functions in a Banach space. We study some connections between lacunary statistical convergence and lacunary strong convergence with respect to a sequence of modulus functions in a Banach space.
LA - eng
KW - lacunary sequence; modulus function; statistical convergence; Banach space; lacunary sequence; modulus function; Banach space; statistical convergence
UR - http://eudml.org/doc/247777
ER -

References

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