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ON THE ERROR-SUM FUNCTION OF ALTERNATING L(U)ROTH SERIES
Authors:Luming Shen  Chao Ma  Jihong Zhang
Abstract:The error-sum function of alternating Lüroth series is introduced, which, to some extent, discerns the superior or not of an expansion comparing to other expansions. Some elementary properties of this function are studied. Also, the Hausdorff dimension of graph of such function is determined.
Keywords:Alternating Lüroth series  error- sum function  Hausdorff dimension  ALTERNATING  FUNCTION  Hausdorff  dimension of graph  elementary properties  superior  expansion  comparing  extent  series  introduced  function  alternating
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