Generalized spaces of double sequences for Orlicz functions and bounded-regular matrices over n-normed spaces

被引：0

作者：

Syed Abdul Mohiuddine

Kuldip Raj

Abdullah Alotaibi

机构：

[1] King Abdulaziz University,Department of Mathematics, Faculty of Science

[2] Shri Mata Vaishno Devi University,School of Mathematics

来源：

Journal of Inequalities and Applications | / 2014卷

关键词：

double sequence; Orlicz function; difference sequence; paranormed space; over ; -normed spaces; bounded-regular matrices;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The aim of this paper is to introduce some generalized spaces of double sequences with the help of the Musielak-Orlicz function M=(Mjk) and four-dimensional bounded-regular (shortly, RH-regular) matrices A=(anmjk) over n-normed spaces. Some topological properties and inclusion relations between these spaces are investigated.

引用

共 35 条

[21] LACUNARY I-CONVERGENT AND LACUNARY I-BOUNDED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER n-NORMED SPACES
Mursaleen, M.
Sharma, Sunil K.
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2018, 24 (04): : 370 - 380
[22] IDEAL CONVERGENT SEQUENCE SPACES WITH RESPECT TO INVARIANT MEAN AND A MUSIELAK-ORLICZ FUNCTION OVER n-NORMED SPACES
Sharma, Sunil K.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2018, 16 (06): : 882 - 893
[23] SOME SEQUENCE SPACES OVER n-NORMED SPACES DEFINED BY FRACTIONAL DIFFERENCE OPERATOR AND MUSIELAK-ORLICZ FUNCTION
Mursaleen, M.
Sharma, Sunil K.
Qamaruddin
KOREAN JOURNAL OF MATHEMATICS, 2021, 29 (02): : 211 - 225
[24] Some sequence spaces of Invariant means and lacunary defined by a Musielak-Orlicz function over n-normed spaces
Sharma, Sunil K.
Raj, Kuldip
Sharma, Ajay K.
TBILISI MATHEMATICAL JOURNAL, 2018, 11 (01): : 31 - 47
[25] I⟩-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function
Esi, Ayhan
Ozdemir, M. Kemal
MATHEMATICA SLOVACA, 2013, 63 (04) : 829 - 838
[26] Some classes of Cesàro-type difference sequences over n-normed spaces
Hemen Dutta
Advances in Difference Equations, 2013
[27] On Some New Double Spaces of λ-convergent and λ-bounded Sequences defined by Orlicz function
Ozdemir, M. Kemal
Esi, Ayhan
Esi, Ayten
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013, PTS 1 AND 2 (ICNAAM 2013), 2013, 1558 : 785 - 787
[28] Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence
Raj, Kuldip
Choudhary, Anu
Sharma, Charu
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (05)
[29] Some Generalized Lacunary statistically difference double semi-normed sequence spaces defined by Orlicz function
Hazarika, Bipan
Esi, Ayhan
ACTA SCIENTIARUM-TECHNOLOGY, 2013, 35 (01) : 131 - 138
[30] THE (λ)over-bar-STATISTICALLY CONVERGENT DOUBLE SEQUENCES IN FUZZY NORMED SPACES
Kisi, Omer
THERMAL SCIENCE, 2019, 23 : S153 - S163

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