On I-Acceleration Convergence of Sequences of Fuzzy Real Numbers

被引:38
作者
Dutta, Amar Jyoti [1 ]
Tripathy, Binod Chandra [1 ]
机构
[1] Inst Adv Study Sci & Technol, Gauhati 781035, Assam, India
关键词
statistical convergence; statistical acceleration; limit inferior; limit superior; GENERALIZED DIFFERENCE-SEQUENCES; SPACES; SUMMABILITY;
D O I
10.3846/13926292.2012.706656
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we introduce the notion of ideal acceleration convergence of sequences of fuzzy real numbers. We have proved a decomposition theorem for ideal acceleration convergence of sequences as well as for subsequence transformations and studied different types of acceleration convergence of fuzzy real valued sequence.
引用
收藏
页码:549 / 557
页数:9
相关论文
共 27 条
[1]   Lacunary statistical and lacunary strongly convergence of generalized difference sequences of fuzzy numbers [J].
Altin, Y. ;
Et, M. ;
Colak, R. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (6-7) :1011-1020
[2]   Statistical summability (C, 1) for sequences of fuzzy real numbers and a Tauberian theorem [J].
Altin, Y. ;
Mursaleen, M. ;
Altinok, H. .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2010, 21 (06) :379-384
[3]  
Altin Y, 2007, KUWAIT J SCI ENG, V34, P1
[4]   Δ-STATISTICAL BOUNDEDNESS FOR SEQUENCES OF FUZZY NUMBERS [J].
Altinok, H. ;
Mursaleen, M. .
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (05) :2081-2093
[5]   λ-Difference sequence spaces of fuzzy numbers [J].
Altinok, Hifsi ;
Colak, Rifat ;
Et, Mikail .
FUZZY SETS AND SYSTEMS, 2009, 160 (21) :3128-3139
[6]   CONVERGENCE ACCELERATION BY EXTRACTION OF LINEAR SUBSEQUENCES [J].
BREZINSKI, C ;
DELAHAYE, JP ;
GERMAINBONNE, B .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1983, 20 (06) :1099-1105
[7]  
Brezinski C., 1974, REND MATH, V7, P303
[8]   On some sets of difference sequences of fuzzy numbers [J].
Colak, R. ;
Altin, Y. ;
Mursaleen, M. .
SOFT COMPUTING, 2011, 15 (04) :787-793
[10]  
Demirci K., 2001, Math. Commun., V6, P165