GENERALIZED INTERPOLATION FORMULAS OF HERMITE – BIRKHOFF TYPE FOR THE CASE OF CHEBYSHEV SYSTEMS OF FUNCTIONS
Abstract
The generalized interpolation formula of Hermite – Birkhoff type with respect to the arbitrary Chebyshev system of functions is constructed. Theorem on the satisfaction of the interpolation conditions is proved. A class of polynomials, for which the interpolation formula is exact, is determined. The error estimate of the obtained formula is constructed. The particular cases of the interpolation formula for the systems of trigonometric and exponential functions are considered.
About the Authors
A. P. Hudyakov
Brest State University named after A. S. Pushkin, Brest
Belarus
Belarus
L. A. Yanovich
Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
Belarus
Belarus
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