Malysheva T. Interpolation formulas in Hilbert space that asymptotically accurate on polynomials

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000375

Thesis Registration Form

0408U000375.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

15-01-2008

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

In abstract Hilbert space a general approach to unique constructive design on the selected set of operator polynomials of interpolants with the simple enough structure that asymptotically accurate on polynomials, is offered. For certain classes of operators the corresponding Hermite and Hermite-Birkhoff interpolants are designed and its accuracy is investigated. The connection between operator interpolation and identification of polynomial systems under the determined influences, is established.

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