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