Sobolev-orthogonal systems of functions and some of their applications

DOI10.1070/RM9846zbMath1434.42039OpenAlexW2972250820MaRDI QIDQ5220244

I. I. Sharapudinov

Publication date: 11 March 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9846

zbMATH Keywords

Laguerre polynomialscosinesLegendreJacobiCauchy problem for system of ordinary differential equationsSobolev-orthogonal systemssystems generated by Haar polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Related Items (8)

On the representation of Sobolev systems orthogonal with respect to the inner product with one discrete point ⋮ Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation ⋮ Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials ⋮ Approximation by polynomials in Sobolev spaces associated with classical moment functionals ⋮ The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials ⋮ RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS ⋮ Fourier series for coherent pairs of Jacobi measures ⋮ Sobolev orthogonal systems with two discrete points and Fourier series

Uses Software

• Matlab

Cites Work

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