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Proving the continuity of complex roots

✍ Scribed by Gonzalez‐Velasco, Donna M.; Gonzalez‐Velasco, Enrique A.


Book ID
127095114
Publisher
Taylor and Francis Group
Year
1981
Tongue
English
Weight
180 KB
Volume
12
Category
Article
ISSN
0020-739X

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Motivated by computing iterative roots for general continuous functions, in this paper we prove the continuity of the iteration operators T n , defined by T n f = f n . We apply the continuity and introduce the concept of continuity degree to answer positively the approximation question: If lim m→∞