On constructing new interpolation formulas using linear operators and an operator type of quadrature rules

DOI10.1016/j.cam.2007.05.006zbMath1146.41011OpenAlexW2043119499MaRDI QIDQ929930

Mohammad Masjed-Jamei

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.05.006

zbMATH Keywords

linear operatorsquadrature rulesincomplete special functionsmixed Taylor-Hermite interpolationsmixed Taylor-Lagrange interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05) Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (8)

A new type of Taylor series expansion ⋮ Error control process in function interpolation using statistical spline model ⋮ A functional expansion for analytic functions and its subclasses ⋮ On constructing new expansions of functions using linear operators ⋮ Explicit forms of weighted quadrature rules with geometric nodes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An extension of the Taylor series expansion by using the Bell polynomials

Cites Work

• A probabilistic model for quadrature rules
• A new type of weighted quadrature rules and its relation with orthogonal polynomials
• High Degree Polynomial Interpolation in Newton Form
• Barycentric Lagrange Interpolation
• Fast Algorithms for Polynomial Interpolation, Integration, and Differentiation
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