FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 237-247

V. V. Khlobystov

Abstract

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```
In abstract Hilbert space the whole set of the polynomial interpolants is
constructed. In Hilbert space with measure the interpolation polynomial with
minimum norm is found, the problem for the best approximation value of
the linear continuous functional on a bounded convex set of the operator
interpolants is solved. Interpretation of these results is considered for
the multivariable functions.
```

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Last modified: April 11, 2000