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Some theorems on Čebyšev approximation II

✍ Scribed by Harold S Shapiro


Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
334 KB
Volume
17
Category
Article
ISSN
0022-247X

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Approximation of Real Numbers by Rationa
✍ Pavel Kargaev; Anatoly Zhigljavsky 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 591 KB

Let x be a real number in [0, 1], F n be the Farey sequence of order n and \ n (x) be the distance between x and F n . The first result concerns the average rate of approximation: The second result states that any badly approximable number is better approximable by rationals than all numbers in ave