Legendre expansions of power series

DOI10.1216/rmjm/1181070407zbMath0967.42018OpenAlexW2031409794MaRDI QIDQ1567145

James Guyker

Publication date: 27 August 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL29-4/CONT29-4/CONT29-4.html

zbMATH Keywords

approximationFourier-Legendre seriesFourier-Legendre coefficientsLegendre expansionspower series sum

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) Convergence and divergence of series and sequences of functions (40A30) General harmonic expansions, frames (42C15)

Related Items

Least squares approximations of power series ⋮ On the uniform convergence of interpolating polynomials

Cites Work

• Estimating Remainders
• Partial Sums of Infinite Series, and How They Grow
• Calculating Sums of Infinite Series
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