| 区间数的绝对值与区间值函数的极限 |
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| 引用本文： | 代兵,包玉娥.区间数的绝对值与区间值函数的极限[J].纯粹数学与应用数学,2016,32(6):583-590. |
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| 作者姓名： | 代兵 包玉娥 |
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| 作者单位： | 内蒙古民族大学数学学院,内蒙古 通辽,028043;内蒙古民族大学数学学院,内蒙古 通辽,028043 |
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| 基金项目： | 国家自然科学基金(11461052)，内蒙古自然科学基金(2014MS0107) |
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| 摘 要： | 研究了区间数的绝对值和区间值函数的极限问题.首先,讨论了区间数的H-差的性质,得到了H-差的两个运算法则;然后,给出了区间数的绝对值概念,并讨论了区间数绝对值的性质;最后,借助区间数的H-差和绝对值的概念,建立了区间值函数极限概念的一种新的表达方式,给出了极限存在的充分必要条件,证明了极限值的唯一性及对加法运算和数乘运算的封闭性.
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| 关 键 词： | 区间数 H-差 绝对值 区间值函数 极限 |
The absolute value of interval numbers and the limit of the interval value function |
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| Dai Bing,Bao Yu′e.The absolute value of interval numbers and the limit of the interval value function[J].Pure and Applied Mathematics,2016,32(6):583-590. |
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| Authors: | Dai Bing Bao Yu′e |
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| Abstract: | In this paper, we study the absolute value of interval numbers and the limit of the interval value function. First of all, we discuss the properties of H-difference of interval numbers, achieve two rules of algorithm of H-difference. Then, we propose the concept of the absolute value of interval numbers, and discuss the properties of the absolute value of interval numbers. In the end, we set up a new expression the concept of the limit of interval value function with the help of the concept of H-difference and absolute value of interval number, conclude the su?cient condition of the existence of limit, and proves the uniqueness of limit value and the sealing ability of addition and multiplication operation. |
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| Keywords: | interval numbers H-difference absolute value interval value function limit |
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