FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

**Interpolation polynomials in Hilbert space and some extremum problems**

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