Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials

DOI10.1108/ajms-07-2021-0164OpenAlexW4205443134MaRDI QIDQ6136965

Alejandro Molano

Publication date: 31 August 2023

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/ajms-07-2021-0164

zbMATH Keywords

Laguerre polynomialsFourier coefficientsSobolev type orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other special orthogonal polynomials and functions (33C47) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• Zero distribution of orthogonal polynomials in a certain discrete Sobolev space
• ON LAGUERRE–SOBOLEV TYPE ORTHOGONAL POLYNOMIALS: ZEROS AND ELECTROSTATIC INTERPRETATION
• The holonomic equation of the Laguerre–Sobolev-type orthogonal polynomials: a non-diagonal case
• Monotonicity and asymptotics of zeros of Laguerre-Sobolev-type orthogonal polynomials of higher order derivatives
• Eine Erweiterung des Orthogonalitätsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation.
• On the Gibbs Phenomenon IV: Recovering Exponential Accuracy in a Subinterval from a Gegenbauer Partial Sum of a Piecewise Analytic Function
• Sobolev-orthogonal systems of functions and some of their applications
• On Mechanical Quadratures, In Particular, with Positive Coefficients
• Polynomial Least Square Approximations

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