Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 23-27.

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The Conditions for the Cesaro Mean Convergence of a Class of Iterative Sequences

Liu Wen1,2, Wang Zikun1,3   

  1. 1. Inst. of Math. of Shantou Univ., Shantou 515063;
    2. Dept. of Math. of Hebei Univ. of Tech., Tianjin 300130;
    3. Dept. of Math. of Beijing Normal Univ., Beijing 100875
  • Received:1995-04-18 Online:1997-12-26 Published:1997-12-26

Abstract: In this paper the conditions for the Cesaro mean convergence of the iterative sequences generated by the tent map are given,and its relations with metric properties of the binary expansions of the real numbers are studied.

Key words: Tent map, iterative sequence, Cesaro mean convergence

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