2019•Physico-mathematical modelling and informational technologiesOpen access

Constructing and researching quasispectral orthogonal polynomials on the basis of Lagerr polynomials

Yaroslav Pyanylo, Valentina Sobko

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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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What this paper is about

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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Available 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.

Key concepts: Orthogonal polynomials, Classical orthogonal polynomials, Discrete orthogonal polynomials, Basis (linear algebra), Orthogonal basis, Hahn polynomials, Mathematics, Gegenbauer polynomials

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