Construction of the optimal set of two or three quadrature rules in the sense of Borges

DOI10.1007/s11075-017-0414-xzbMath1397.65039OpenAlexW2755124412WikidataQ112879559 ScholiaQ112879559MaRDI QIDQ1656661

Tatjana V. Tomović, Marija P. Stanić

Publication date: 10 August 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0414-x

zbMATH Keywords

multiple orthogonal polynomialsoptimal set of quadrature rulesmulti-index

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Numerical quadrature and cubature formulas (65D32)

Related Items (1)

Construction of the optimal set of quadrature rules in the sense of Borges

Cites Work

• Multiple orthogonal polynomials on the semicircle and applications
• Hermite--Padé approximation and simultaneous quadrature formulas
• Nearest neighbor recurrence relations for multiple orthogonal polynomials
• Computing recurrence coefficients of multiple orthogonal polynomials
• On simultaneous approximations for a collection of Markov functions
• Multiple orthogonal polynomials
• On a class of Gauss-like quadrature rules
• Gaussian quadrature for multiple orthogonal polynomials
• Multiple Wilson and Jacobi--Piñeiro polynomials
• Multiple Orthogonality and Applications in Numerical Integration
• Multiple orthogonal polynomials for classical weights
• Simultaneous Gaussian quadrature for Angelesco systems
• Generalized analytic functions
• Some classical multiple orthogonal polynomials
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