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- W2377060473 abstract "The convolution of a function f2C m ( k ; ) with a Dirac- sequence gives an approximation of f 2 C 0 ( k ; ) by a sequence of functions fn2C 1 ( k ; ) n 1 converging uniformly on compact sub- sets of k as well as its derivatives. The paper studies global estima- tions on k , i.e. there exists functions h 2C 1 ( k ; ) and a sequence (n)! 0 such thatj D fn(x) D f(x)j (n)h (x) for all x2 k , all j j m and all n 1. Special subalgebras ofC 1 ( k ; ) are in- troduced for the study of the dominated behavior of the convolution process. Some extensions forC m (; ) are obtained with open subset of k ." @default.
- W2377060473 created "2016-06-24" @default.
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- W2377060473 date "2004-01-01" @default.
- W2377060473 modified "2023-09-27" @default.
- W2377060473 title "GLOBALC m -APPROXIMATIONS IN k" @default.
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