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积分中值定理的逆 被引量:1

A Converse of the Mean Value Theorem for Integration
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摘要 从积分中值定理的几何意义出发 ,探讨出有关积分中值定理的逆 。 In this paper,we get a converse of the mean value theorem for integration from the geometric interpretation of the mean value theorem for integration,and more,we get the converse of the mean theorem for differentiation.
作者 余桂东
出处 《安庆师范学院学报(自然科学版)》 2001年第1期63-64,共2页 Journal of Anqing Teachers College(Natural Science Edition)
关键词 积分中值定理 微分中值定理 强形式 弱形式 积分学 聚点 the mean value theorem for integration the converse of the mean value theorem for integration the converse of the mean value theorem for differention weak form strong form
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参考文献3

  • 1[1]J. Tong. P. A. Braza,A Converse of the Mean Value Theorem[J]. Amer,Math Monthly,1997,104(7) :939-942.
  • 2[2]J. M Borwein and Xianfu wang. The converse of the Mean Value Theorem May Fail Generically[J]. Amer,Math Monthly, 1998.105(9) :847-848.
  • 3[3]H. Fejzic and D. Rinne. More on a Mean Value Theorem Converse[J]. Amer ,Math ,Monthly ,1999,106(5) :454-455.

同被引文献3

  • 1[1]J.Tong.P.A.Braza.A Converse of the Mean Value Theorem [J].Amer, Math Monthly,1997,104(10):939-942.
  • 2[2]J.M Borwein and Xianfu Wang.The Converse of the Mean Value Theorem May Fail Generically [J].Amer, Math Monthly,1998,105(9):847-848.
  • 3[3]H.Fejzic and D.Rinne,More on a Mean Value Theorem Converse [J].Amer, Math Monthly,1999,106(5):454-455.

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