Approximate Calculation of Sums I: Bounds for the Zeros of Gram Polynomials

DOI10.1137/120887278zbMath1311.33006OpenAlexW2072113904MaRDI QIDQ2927837

Dimitar K. Dimitrov, Vanessa Paschoa, IvÁn Area, Eduardo Paciência Godoy

Publication date: 4 November 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/120887278

zbMATH Keywords

approximate calculation of sumsGaussian type quadrature formula for sumsorthogonal Gram polynomialszeros of Gram polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10) Numerical integration (65D30)

Related Items (6)

An Efficient Algorithm for the Classical Least Squares Approximation ⋮ On fractional orthonormal polynomials of a discrete variable ⋮ Approximate Calculation of Sums II: Gaussian Type Quadrature ⋮ Numerical Integration of Functions of a Rapidly Rotating Phase ⋮ Inner bounds for the extreme zeros of ₃F₂ hypergeometric polynomials ⋮ Bounds for the zeros of symmetric Kravchuk polynomials

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