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Convergence of bounds in optimization

✍ Scribed by A. W. J. Stoddart

Book ID
105010737
Publisher
Springer
Year
1973
Tongue
English
Weight
173 KB
Volume
12
Category
Article
ISSN
0022-3239

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Optimal Error Bounds for Convergents of
Optimal Error Bounds for Convergents of a Family of Continued Fractions
✍ Yair Shapira; Avram Sidi; Moshe Israeli πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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 Ε½ . K a r1 that are uniform for F F, and optimal in the sense