Tauberian theorems for statistical summability methods of sequences of fuzzy numbers

被引：0
作者：
Enes Yavuz
机构：
[1] Manisa Celal Bayar University,Department of Mathematics
来源：
Soft Computing | 2019年 / 23卷
关键词：
Sequences of fuzzy numbers; Statistical convergence; Tauberian theorems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give Tauberian conditions of slow decrease type under which statistical Cesàro summability and statistical logarithmic summability of sequences of fuzzy numbers imply convergence in fuzzy number space. Besides, we obtain a sufficient condition for statistically convergent sequences of fuzzy numbers to converge in the ordinary sense.
引用
收藏
页码：5659 / 5665
页数：6
相关论文
共 46 条
  • [1] Altın Y(2010)Statistical summability J Intell Fuzzy Syst 21 379-384
  • [2] Mursaleen M(2012) for sequences of fuzzy real numbers and a Tauberian theorem Soft Comput 16 1029-1034
  • [3] Altınok H(2008)On the class of Comput Math Appl 55 573-580
  • [4] Altınok H(2006)-statistically convergent difference sequences of fuzzy numbers Fuzzy Sets Syst 157 976-985
  • [5] Çolak R(2004)Statistical fuzzy approximation by fuzzy positive linear operators Fuzzy Sets Syst 147 385-403
  • [6] Altın Y(2014)Statistical limit inferior and limit superior for sequences of fuzzy numbers Iran J Fuzzy Syst 11 87-93
  • [7] Anastassiou GA(2014)Almost periodic fuzzy-number-valued functions Kuwait J Sci 41 17-30
  • [8] Duman O(1951)Hölder summability method of fuzzy numbers and a Tauberian theorem Colloq Math 2 241-244
  • [9] Aytar S(2016)On pointwise statistical convergence of order Soft Comput 20 3611-3616
  • [10] Mammadov MA(2007) of sequences of fuzzy mappings Fuzzy Sets Syst 158 2317-2338
12345