Weighted λ-statistical convergence connecting a statistical summability of sequences of fuzzy numbers and Korovkin-type approximation theorems

被引:8
作者
Dutta, Hemen [1 ]
Gogoi, Jyotishmaan [1 ]
机构
[1] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India
关键词
Sequences of fuzzy numbers; Summability by weighted mean; Statistical convergence; Korovkin-type approximation theorem; SUMMABLE DOUBLE SEQUENCES; TAUBERIAN-THEOREMS; CESARO SUMMABILITY; SETS; SPACES; BETA;
D O I
10.1007/s00500-019-03846-2
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we investigated the notion of generalized weighted k-statistical convergence connecting ((N) over bar (lambda), p(n))(F)-statistical summability of sequences of fuzzy numbers. Some inclusion relations and other related results for the new summability methods are also given. Furthermore, we give a Korovkin-type approximation theorem for fuzzy positive linear operators using the notion of generalized weighted ((N) over bar (lambda), p(n))(F)-statistical summability.
引用
收藏
页码:12883 / 12895
页数:13
相关论文
共 56 条
[1]   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
[2]  
Altinok H, 2012, IRAN J FUZZY SYST, V9, P63
[3]  
Anastassiou GA, 2005, STUD U BABES-BOL MAT, V50, P3
[4]   Statistical fuzzy approximation by fuzzy positive linear operators [J].
Anastassiou, George A. ;
Duman, Oktay .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 55 (03) :573-580
[5]   Statistical limit inferior and limit superior for sequences of fuzzy numbers [J].
Aytar, S ;
Mammadov, MA ;
Pehlivan, S .
FUZZY SETS AND SYSTEMS, 2006, 157 (07) :976-985
[6]   Symmetric triangular approximations of fuzzy numbers under a general condition and properties [J].
Ban, Adrian I. ;
Coroianu, Lucian .
SOFT COMPUTING, 2016, 20 (04) :1249-1261
[7]  
Bede B, 2013, STUD FUZZ SOFT COMP, V295, P1, DOI 10.1007/978-3-642-35221-8
[8]   Generalized weighted statistical convergence and application [J].
Belen, C. ;
Mohiuddine, S. A. .
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) :9821-9826
[9]   Tauberian theorems for weighted mean summability method of improper Riemann integrals of fuzzy-number-valued functions [J].
Belen, Cemal .
SOFT COMPUTING, 2018, 22 (12) :3951-3957
[10]  
Braha NL, 2017, IRAN J FUZZY SYST, V14, P79