Special series in Laguerre polynomials and their approximation properties

DOI10.1134/S0037446617020173zbMath1371.33023OpenAlexW2608755963MaRDI QIDQ2360299

I. I. Sharapudinov

Publication date: 30 June 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617020173

zbMATH Keywords

approximation propertiesmixed seriesSobolev orthogonal Laguerre polynomialsspecial series in Laguerre polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10)

Related Items (7)

On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials ⋮ Approximation properties of the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials ⋮ Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations ⋮ RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS ⋮ Approximative properties of Fourier-Meixner sums ⋮ Sobolev-orthogonal systems of functions and some of their applications ⋮ A Sobolev orthogonal system of functions generated by a Walsh system

Cites Work

• Unnamed Item
• Unnamed Item
• On Sobolev orthogonal polynomials
• On polynomials orthogonal with respect to certain Sobolev inner products
• 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
• Approximation properties of the operators \({\mathcal Y}_{n+2r}(f)\) and of their discrete analogs
• Mixed series of Chebyshev polynomials orthogonal on a uniform grid
• Approximation properties of the Vallée-Poussin means of partial sums of a mixed series of Legendre polynomials
• Approximation of functions of variable smoothness by Fourier-Legendre sums
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Approximation properties of mixed series in terms of Legendre polynomials on the classes $ {W^r}$

This page was built for publication: Special series in Laguerre polynomials and their approximation properties