Constructing and researching quasispectral orthogonal polynomials on the basis of Lagerr polynomials
Yaroslav Pyanylo, Valentina Sobko
Abstract
Yaroslav Pyanylo, Valentina Sobko
Abstract
An orthogonal system of polynomials is constructed in the basis of Lagerra polynomials, and the problem of approximation of a function in the constructed orthogonal basis is considered. During the computational experiment, the influence of various errors on the approximation was investigated on model problems.
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An orthogonal system of polynomials is constructed in the basis of Lagerra polynomials, and the problem of approximation of a function in the constructed orthogonal basis is considered. During the computational experiment, the influence of various errors on the approximation was investigated on model problems.
Key concepts: Orthogonal polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials, Basis (linear algebra), Orthogonal basis, Hahn polynomials, Mathematics, Gegenbauer polynomials