Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh

DOI10.3103/S1066369X17080072zbMath1376.33015OpenAlexW2738625656MaRDI QIDQ2404917

I. I. Sharapudinov, T. I. Sharapudinov

Publication date: 21 September 2017

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17080072

zbMATH Keywords

approximation of discrete functionsChebyshev polynomials orthogonal on a meshmixed series of Chebyshev polynomials orthogonal on a uniform meshpolynomials orthogonal in Sobolev sense

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)

Related Items (5)

Sobolev-Orthonormal System of Functions Generated by the System of Laguerre Functions ⋮ Sobolev-orthogonal systems of functions and some of their applications ⋮ A Sobolev orthogonal system of functions generated by a Walsh system ⋮ Recurrence Relations for Polynomials Orthonormal on Sobolev, Generated by Laguerre Polynomials ⋮ Inner product and Gegenbauer polynomials in Sobolev space

Uses Software

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Cites Work

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• Mixed series of Jacobi and Chebyshev polynomials and their discretization
• On polynomials orthogonal with respect to certain Sobolev inner products
• On asymptotic behavior of the Chebyshev polynomials orthogonal on a finite system of points
• Sobolev orthogonal polynomials and second-order differential equations
• Orthogonal polynomials on Sobolev spaces: Old and new directions
• Laguerre polynomials generalized to a certain discrete Sobolev inner product space
• Mixed series of Chebyshev polynomials orthogonal on a uniform grid
• Spectral Methods in MATLAB

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