Some Sequence Spaces Defined by vertical bar A vertical bar Summability and a Modulus Function in Seminormed Space

被引：0

作者：

Bala, Indu ^{[1
]}

Bhardwaj, Vinod K. ^{[2
]}

Savas, Ekrem ^{[3
]}

机构：

[1] Govt Coll, Dept Math, Chhachhrauli 135103, India

[2] Kurukshetra Univ, Dept Math, Kurukshetra 136119, Haryana, India

[3] Istanbul Commerce Univ, Dept Math, TR-36472 Istanbul, Turkey

来源：

THAI JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 03期

关键词：

sequence space; modulus function; summability; topological linear space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of this paper is to introduce a new sequence space which arises from the notions of |A| summability and a modulus function in seminormed complex linear space. We examine various algebraic and topological properties of this space and also investigate some inclusion relations. Our results generalize and unify the corresponding earlier results of Altin et al. [1], Bhardwaj and Singh [2].

引用

页码：623 / 631

页数：9

共 18 条

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Altin, Yavuz
[J]. ACTA MATHEMATICA SCIENTIA, 2009, 29 (02) : 427 - 434
[6] Bhardwaj V.K., 1999, DEMONSTRATIO MATH, V32, P539
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[8] Maddox I. J, 1970, ELEMENTS FUNCTIONAL
[9] SEQUENCE-SPACES DEFINED BY A MODULUS
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[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 100 : 161 - 166
[10] INCLUSIONS BETWEEN FK-SPACES AND KUTTNER THEOREM
MADDOX, IJ
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1987, 101 : 523 - 527

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