On αβ-Statistical Convergence for Sequences of Fuzzy Mappings and Korovkin Type Approximation Theorem

被引:7
|
作者
Karaisa, Ali [1 ]
Kadak, Ugur [2 ]
机构
[1] Necmettin Erbakan Univ, Fac Sci, Dept Math Comp Sci, Meram Campus, TR-42090 Meram, Konya, Turkey
[2] Bozok Univ, Fac Sci, Dept Math, TR-66100 Yozgat, Turkey
关键词
Statistical convergence of fuzzy sequences; alpha beta-summable sequences; fuzzy Korovkin-type approximation; fuzzy Bernstein operator; POSITIVE LINEAR-OPERATORS; LACUNARY SUMMABILITY; ORDER ALPHA; VARIABLES; NUMBERS; SPACES; SETS;
D O I
10.2298/FIL1712749K
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Upon prior investigation on statistical convergence of fuzzy sequences, we study the notion of pointwise alpha beta-statistical convergence of fuzzy mappings of order gamma. Also, we establish the concept of strongly alpha beta-summable sequences of fuzzy mappings and investigate some inclusion relations. Further, we get an analogue of Korovkin-type approximation theorem for fuzzy positive linear operators with respect to alpha beta-statistical convergence. Lastly, we apply fuzzy Bernstein operator to construct an example in support of our result.
引用
收藏
页码:3749 / 3760
页数:12
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