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A recurrence formula for leaping convergents of non-regular continued fractions

โœ Scribed by Carsten Elsner; Takao Komatsu


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
128 KB
Volume
428
Category
Article
ISSN
0024-3795

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Optimal Error Bounds for Convergents of
โœ Yair Shapira; Avram Sidi; Moshe Israeli ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

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