For a regular continued fraction that converges to $\alpha $ we have $\vert \alpha - \frac {A_n}{B_n} \vert < \frac {A_n}{B_n^2}$. Is there a similar result for generalized continued fractions? I need to estimate the accuracy of my $ \frac {A_n}{B_n} $, and faiked to find a similar result.
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A better estimate is $\left|,\alpha-\frac{A_n}{B_n},\right|\lt\frac1{B_n^2}$ for regular continued fractions. However, I don't know of estimates for generalized continued fractions. – robjohn Mar 20 '18 at 21:53