Optimal Error Bounds for Convergents of
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Yair Shapira; Avram Sidi; Moshe Israeli
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Article
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1996
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Elsevier Science
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English
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Let F F be the family of continued fractions K a r1 , where a s yg , a s g x , ps2, 3, . . . , with 0 F g F 1, g fixed, and x F 1, p s py 1 p p p p p 2, 3, . . . . In this work, we derive upper bounds on the errors in the convergents of ลฝ . K a r1 that are uniform for F F, and optimal in the sense