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A posteriori bounds for truncation error of continued fractions (SIAM JNA 1971)

โœ Scribed by Jones, Thron.


Book ID
127401395
Tongue
English
Weight
102 KB
Category
Library

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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