MATRIX TRANSFORMATIONS ON LACUNARY ORLICZ SEQUENCE SPACES AND THEIR TOEPLITZ DUALS

被引：0

作者：

Raj, Kuldip ^{[1
]}

Anand, Renu ^{[1
]}

Sharma, Charu ^{[1
]}

机构：

[1] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, J&K, India

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2019年 / 45卷 / 03期

关键词：

Orlicz function; paranorm space; AK-property; monotone norm; beta-; gamma-; duals; matrix transformations; INCLUDE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to study some lacunary sequence spaces originated with infinite matrices and a sequence of Orlicz functions. We make an effort to study some algebraic and topological properties of these sequence spaces. Some inclusion relations are also establish between these spaces. Furthermore, we compute the beta-, gamma-duals and matrix transformations of these spaces.

引用

下载

页码：831 / 851

页数：21

共 50 条

[31] RIESZ LACUNARY ALMOST CONVERGENT DOUBLE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
Konca, Sukran
Basarir, Metin
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (01): : 169 - 186
[32] On some lacunary difference sequence spaces defined by a sequence of Orlicz functions and q-lacunary Δmn-statistical convergence
Tripathy, Binod Chandra
Dutta, Hemen
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 417 - 430
[33] A note on Köthe-Toeplitz duals and multiplier spaces of sequence spaces involving bicomplex numbers
Degirmen, Nilay
Sagir, Birsen
JOURNAL OF APPLIED ANALYSIS, 2024,
[34] ON KOTHE-TOEPLITZ DUALS OF SOME NEW AND GENERALIZED DIFFERENCE SEQUENCE SPACES
Ansari, A. A.
Chaudhry, V. K.
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2012, (29): : 135 - 148
[35] Sum of sequence spaces and matrix transformations
Bruno De Malafosse
Acta Mathematica Hungarica, 2006, 113 : 289 - 311
[36] Lacunary summable sequence spaces of fuzzy numbers defined by ideal convergence and an Orlicz function
Esi A.
Hazarika B.
Afrika Matematika, 2014, 25 (2) : 331 - 343
[37] Applications of Lacunary Sequences to develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function
Raj, Kuldip
Mohiuddine, S. A.
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (05): : 1131 - 1148
[38] MATRIX TRANSFORMATIONS OF DUAL SEQUENCE SPACES
ISHIGURO, K
ZELLER, K
MATHEMATISCHE ZEITSCHRIFT, 1975, 145 (02) : 195 - 200
[39] SOME SEQUENCE SPACES AND MATRIX TRANSFORMATIONS
Savas, Ekrem
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 10 (02): : 187 - 192
[40] MATRIX TRANSFORMATIONS BETWEEN SEQUENCE SPACES
JAKIMOVSKI, A
LIVNE, A
JOURNAL D ANALYSE MATHEMATIQUE, 1972, 25 : 345 - +

← 1 2 3 4 5 →