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Home > Wen Yuan (High School Edition) > 2024 No.11 > 高等数学教学中函数的三种连续性探究

  • 高等数学教学中函数的三种连续性探究

    Author(s)：

    黄功宇  赵红艳  沈礼滢

    Publication Title：

    Wen Yuan (High School Edition) 2024 No.11

    Affiliations：

    郑州电力职业技术学院公共教学部

    Abstract：

    函数的连续性、一致连续性和绝对连续性一直都是实变函数的重要内容，都是建立在函数极限概念的基础之上，用以刻画函数的图像变化情况和研究函数性质。本文深入解析三种连续性并列出实函数例子，彻底缕清在不同区间上，三种连续性的关系，最终给出定理和详细证明过程。

    Keywords：

    连续；一致连续；绝对连续；Cantor定理；关系； Lipschitz条件

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    [1] 黄功宇,赵红艳,沈礼滢.高等数学教学中函数的三种连续性探究[J].Wen Yuan (High School Edition),2024(11),.

文渊(高中版)
Wen Yuan (High School Edition)

Language: 中文

CN：11-9276/G

ISSN：2096-6288

Publication Frequency: 月刊

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