TWO VALUED MEASURE AND SOME NEW DOUBLE SEQUENCE SPACES IN 2-NORMED SPACES

被引:7
|
作者
Das, Pratulananda [1 ]
Savas, Ekrem [2 ]
Bhunia, Santanu [3 ]
机构
[1] Jadavpur Univ, Dept Math, Kolkata 700032, W Bengal, India
[2] Istanbul Ticaret Univ, Dept Math, Uskudar Istanbul, Turkey
[3] FC Coll, Dept Math, Diamond Harbour 743331, W Bengal, India
关键词
convergence; mu-statistical convergence; convergence in mu-density; condition (APO(2)); 2-norm; 2-normed space; paranorm; paranormed space; Orlicz function; sequence space; STATISTICAL CONVERGENCE; SUMMABILITY;
D O I
10.1007/s10587-011-0029-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
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页码:809 / 825
页数:17
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