Two valued measure and some new double sequence spaces in 2 -normed spaces

Pratulananda Das; Ekrem Savaş; Santanu Bhunia

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 3, page 809-825
  • ISSN: 0011-4642

Abstract

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The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in 2 -normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.

How to cite

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Das, Pratulananda, Savaş, Ekrem, and Bhunia, Santanu. "Two valued measure and some new double sequence spaces in $2$-normed spaces." Czechoslovak Mathematical Journal 61.3 (2011): 809-825. <http://eudml.org/doc/196891>.

@article{Das2011,
abstract = {The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in $2$-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.},
author = {Das, Pratulananda, Savaş, Ekrem, Bhunia, Santanu},
journal = {Czechoslovak Mathematical Journal},
keywords = {convergence; $\mu $-statistical convergence; convergence in $\mu $-density; condition (APO$_\{2\}$); 2-norm; 2-normed space; paranorm; paranormed space; Orlicz function; sequence space; convergence; -statistical convergence; convergence in -density; condition (APO); 2-norm; paranorm; paranormed space; Orlicz function},
language = {eng},
number = {3},
pages = {809-825},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two valued measure and some new double sequence spaces in $2$-normed spaces},
url = {http://eudml.org/doc/196891},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Das, Pratulananda
AU - Savaş, Ekrem
AU - Bhunia, Santanu
TI - Two valued measure and some new double sequence spaces in $2$-normed spaces
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 3
SP - 809
EP - 825
AB - The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in $2$-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before.
LA - eng
KW - convergence; $\mu $-statistical convergence; convergence in $\mu $-density; condition (APO$_{2}$); 2-norm; 2-normed space; paranorm; paranormed space; Orlicz function; sequence space; convergence; -statistical convergence; convergence in -density; condition (APO); 2-norm; paranorm; paranormed space; Orlicz function
UR - http://eudml.org/doc/196891
ER -

References

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