Quadrature with multiple nodes, power orthogonality, and moment-preserving spline approximation, part II

DOI10.2298/AADM180730018MzbMath1499.65089OpenAlexW2895481679WikidataQ115058626 ScholiaQ115058626MaRDI QIDQ5028794

Miroslav S. Pranić, Gradimir V. Milovanović, Miodrag M. Spalević

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm180730018m

zbMATH Keywords

weightsChebyshev polynomialsnodesdegree of precisionspline functionGauss-Turán quadrature rulesquadratures with multiple nodes\(s\)- and \(\sigma\)-orthogonal polynomialsspline defect

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Other special orthogonal polynomials and functions (33C47)

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Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses -- survey of recent results ⋮ Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas ⋮ Weighted nonstandard quadrature formulas based on values of linear differential operators ⋮ Ostrowski type inequalities and some selected quadrature formulae

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