J4 ›› 2008, Vol. 43 ›› Issue (12): 88-92.

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F-rough integrals and their covered area-boundary thickness characteristics

 FANG Wen-Qing1,3, XU Xiu-Qing2,3, SHI Kai-Quan3   

  1. 1. Dezhou Vocational and Technical College, Dezhou 253034, Shandong, China;
    2. Department of Mathematics, Dezhou College, Dezhou 253000, Shandong, China;
    3. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China
  • Received:2008-08-20 Online:2008-12-16 Published:2009-11-09

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Abstract:

 F-rough integrals were composed with one pair of the integrals, which was used to  introduce the concepts of the degree of covered area and boundary thickness. The characteristics of the area were discussed and  the dynamic law was given. The degree of covered area and boundary thickness turns the discussion about F-rough integrals from quality to quantity.

Key words: F-rough integrals; area characteristics; degree of covered area; boundary thickness

CLC Number: 

  • O159
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