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Approximations of positive contractions onL∞ [0,1]

✍ Scribed by Choo -Whan Kim

Book ID
104883404
Publisher
Springer
Year
1972
Tongue
English
Weight
134 KB
Volume
24
Category
Article
ISSN
1432-2064

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For a function f # L p [&1, 1], 0< p< , with finitely many sign changes, we construct a sequence of polynomials P n # 6 n which are copositive with f and such that & f &P n & p C| . ( f , (n+1) &1 ) p , where | . ( f , t) p denotes the Ditzian Totik modulus of continuity in L p metric. It was shown