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二进制在半连续函数凸性的等价性证明

Theoretical Mathematics Study / 2020,2(2)：59-65 / 2020-06-10 look

1973

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Authors: 邓韦佳
Information:
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湖北大学，武汉
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Keywords: 二进制；半连续；凸性
Binary; Semi-continuity; Convexity
Abstract: 通过二进制思想给出定义在区间上的半连续函数的凸性的一个等价性结论的证明，揭示了函数在半连续条件下凸性的两种定义的等价性，显示了半连续与凸性的本质上的相关性。
By using binary, a proving on the equivalence of convexity of function is given, which discloses the equivalence of two definitions on convexity of function with semi-continuous and shows the essential relations between semi-continuity and convexity．
DOI: https://doi.org/10.35534/tms.0202009c
Cite: 邓韦佳．二进制在半连续函数凸性的等价性证明［J］．理论数学前沿，2020，2（2）：59-65．