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Reconstruction of Functions on the Basis of Sequences of Linear Functionals

✍ Scribed by R. Kozarev

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
406 KB
Volume
83
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

The question about a reconstruction of functions from a certain class is studied. The reconstruction is realised on the basis of sequences of linear functionals (l_{n}(f){n=1}^{x}) of the form (l{n}(f)=\sum_{k=0}^{m(n)} a_{n k} f\left(x_{n k}\right)). An explicit expression of the reconstructed function is given. 1995 Academic Press. Inc.

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