Nonstandard Gaussian quadrature formulae based on operator values

DOI10.1007/s10444-009-9114-yzbMath1190.65042OpenAlexW1981104253WikidataQ115058734 ScholiaQ115058734MaRDI QIDQ963255

Aleksandar S. Cvetković, Gradimir V. Milovanović

Publication date: 19 April 2010

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-009-9114-y

zbMATH Keywords

zerosGaussian quadraturemeasurelinear operatorlinear functionalweightorthogonal polynomialnumerical algorithmdegree of exactnessinterval quadraturenon-standard interpolatory quadrature

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (9)

A novel class of fractionally orthogonal quasi-polynomials and new fractional quadrature formulas ⋮ Efficient numerical methods for analysis of square ratio of \(\kappa-\mu\) and \(\eta-\mu\) random processes with their applications in telecommunications ⋮ A Certain Class of Weighted Approximations for Integrable Functions and Applications ⋮ A GENERALIZATION OF THE OSTROWSKI–GRUSS INEQUALITY ⋮ Explicit forms of weighted quadrature rules with geometric nodes ⋮ The Scientific Work of Gradimir V. Milovanović ⋮ Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives ⋮ Weighted nonstandard quadrature formulas based on values of linear differential operators ⋮ Some applications of the Stirling numbers of the first and second kind

Uses Software

• ORTHPOL
• OPQ

Cites Work

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