Lacunary summable sequence spaces of fuzzy numbers defined by ideal convergence and an Orlicz function

被引：11

作者：

Esi A. ^{[1
]}

Hazarika B. ^{[2
]}

机构：

[1] Department of Mathematics, Adiyaman University, Adiyaman

[2] Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh

来源：

Afrika Matematika | 2014年 / 25卷 / 2期

关键词：

Fuzzy number; I-Convergence; Ideal; Lacunary sequence; Multiplier space; Orlicz function;

D O I：

10.1007/s13370-012-0117-3

中图分类号：

学科分类号：

摘要：

In this paper we introduce some certain new sequence spaces via ideal convergence and an Orlicz function and study some basic topological and algebraic properties of these spaces. Also we investigate the relations related to these spaces. © 2012 African Mathematical Union and Springer-Verlag Berlin Heidelberg.

引用

页码：331 / 343

页数：12

共 50 条

[1] Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function
Adem Kılıçman
Stuti Borgohain
[J]. Advances in Difference Equations, 2013
[2] Generalized difference strongly summable sequence spaces of fuzzy real numbers defined by ideal convergence and Orlicz function
Kilicman, Adem
Borgohain, Stuti
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[3] Applications of Lacunary Sequences to develop Fuzzy Sequence Spaces for Ideal Convergence and Orlicz Function
Raj, Kuldip
Mohiuddine, S. A.
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 13 (05): : 1131 - 1148
[4] On convergent double sequence spaces of fuzzy numbers defined by ideal and Orlicz function
Savas, Ekrem
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 26 (04) : 1869 - 1877
[5] Lacunary statistical convergence defined by an Orlicz function in sequences of fuzzy numbers
Altinok, Hifsi
Yagdiran, Damla
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (03) : 2725 - 2731
[6] I⟩-strongly summable sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function
Esi, Ayhan
Ozdemir, M. Kemal
[J]. MATHEMATICA SLOVACA, 2013, 63 (04) : 829 - 838
[7] Strongly almost summable sequence spaces in 2-normed spaces defined by ideal convergence and an Orlicz function
Esi, Ayhan
[J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (01): : 75 - 82
[8] Lacunary Ap-summable sequence spaces defined by Orlicz functions
Bilgin, Tunay
[J]. JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2006, 46 (02): : 367 - 376
[9] Some double lacunary I-convergent sequence spaces of fuzzy numbers defined by Orlicz function
Savas, Ekrem
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2012, 23 (05) : 249 - 257
[10] Some sequence spaces of fuzzy numbers defined by Orlicz function
Sarma, Bipul
[J]. ACTA SCIENTIARUM-TECHNOLOGY, 2015, 37 (01) : 85 - 87

← 1 2 3 4 5 →