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

来源：

FILOMAT | 2017年 / 31卷 / 12期

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

页码：3749 / 3760

页数：12

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