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On the Degree of Convergence of the Development of a Continuous Function According to Legendre's Polynomials

✍ Scribed by Dunham Jackson


Book ID
123945153
Publisher
American Mathematical Society
Year
1912
Tongue
English
Weight
340 KB
Volume
13
Category
Article
ISSN
0002-9947

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On the convergence of continued radicals
✍ R.I. Andrushkiw πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 323 KB

The class of continued radicals r,J(ar +?/(a, +Iq(a, + . . .))) is investigated for the case where a, > O,r, > 2. Results concerning the convergence of continued radicals are obtained and an error estimate is givenfor the approximating sequence t, = 'q(al +';/(a, + ... +';/(a.))), n = 1,2,. . , in