广义T_（＋m）变换对极限k（k≥2）循环连分式的加速收敛

ACCELERATION OF LIMIT k(k≥2)-PERIODIC CONTINUED FRACTIONS BY THE GENERALIZED T_(+m) TRANSFORMATION

文章对极限ｋ（ｋ≥２）循环连分式的渐近分式序列定义了广义的Ｔ（＋ｍ）变换，在一定条件下，它用来对极限ｋ（ｋ≥２）循环连分式的加速收敛，根据序列｛ｆｎ｝的收敛性给出了选择最佳过程的可能性。

In this paper, we define the generalized T+m transformation for convergent se-quences of limit k(k≥2)-periodic continued fractions under some conditions.It is used to accele ration convergence for limit k(k≥2)-periodic continued fractions.It follows the possibility of choosing the best process according to the convergence beaviour of sequence {fn}.