| 多元Fuzzy连续函数Korovkin逼近定理 |
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| 引用本文： | 陈英伟,常之魁,王志军.多元Fuzzy连续函数Korovkin逼近定理[J].河北大学学报(自然科学版),2022,42(2):118-123. |
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| 作者姓名： | 陈英伟 常之魁 王志军 |
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| 作者单位： | 河北经贸大学数学与统计学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11801132)； |
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| 摘 要： | 对多元模糊值周期连续函数,三角逼近的Korovkin逼近定理可由模糊型连续模获得,最后给出了有关模糊值函数的Fejér算子逼近的应用.
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| 关 键 词： | 模糊值连续函数 Korovkin定理 模糊集理论 Fejér算子 |
| 收稿时间： | 2020-09-16 |
Korovkin approximation theorem on fuzzy continuous functions of several variables |
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| CHEN Yingwei,CHANG Zhikui,WANG Zhijun.Korovkin approximation theorem on fuzzy continuous functions of several variables[J].Journal of Hebei University (Natural Science Edition),2022,42(2):118-123. |
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| Authors: | CHEN Yingwei CHANG Zhikui WANG Zhijun |
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| Institution: | College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China |
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| Abstract: | We prove the trigonometric Korovkin approximation theorem for fuzzy valued functions of several variables and verify the approximation via the fuzzy modulus of continuity. Some applications concerning Fejér operators of fuzzy valued functions are also given. |
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| Keywords: | fuzzy valued continuous function Korovkin approximation theorem fuzzy set theory Fejér operator |
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