Let $h$: $xmapsto rac{ax+b}{cx+d} $ be the nondegenerate M"{o}biustransformation with integer entries. We get a bound of the continued fractionof $h(x)$ by the upper and lower bound of continued fraction of $x$, whichextends a result of Stambul cite{S2}.
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机译：让$ H $：$ x mapsto frac {ax + b} {cx + d} $ be nondegenerate m n {o} biustransformation与整数条目。我们得到了持续的fractionof $ h（x）$的绑定在持续的$ x $的持续分数的上限和下限，这是sambul cite {s2}的结果。
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