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A two-parameter family of best twin convergence regions for continued fractions

โœ Scribed by L. J. Lange; W. J. Thron


Publisher
Springer-Verlag
Year
1960
Tongue
French
Weight
689 KB
Volume
73
Category
Article
ISSN
0025-5874

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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