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二进制在半连续函数凸性的等价性证明

Equivalence Proof of Convexity of Binary in Semicontinuous Function

Theoretical Mathematics Study / 2020,2(2): 59-65 / 2020-06-10 2015 3045

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• Authors: 邓韦佳
• Information:

  湖北大学，武汉

• Keywords:
  Binary; Semi-continuity; Convexity
  二进制; 半连续; 凸性
• Abstract: 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． 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。
• 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．