Uniform convergence of derivatives of extended Lagrange interpolation

DOI10.1007/BF01385721zbMath0746.41003OpenAlexW2010009113MaRDI QIDQ1183034

Donatella Occorsio, Giuliana Criscuolo, Giuseppe Mastroianni

Publication date: 28 June 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133591

zbMATH Keywords

singular integral equationscollocation methodsmodulus of continuityJacobi weight

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

Some nodes matrices appearing in the numerical analysis for singular integral equations, A good interpolation matrix, Some numerical algorithms to evaluate Hadamard finite-part integrals, Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\), Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials, On mean convergence of extended Lagrange interpolation, A new family of extended Gauss quadratures with an interior interval constraint, Optimal systems of nodes for Lagrange interpolation on bounded intervals. A survey, Extended Lagrange interpolation in weighted uniform norm

Cites Work

• On the simultaneous approximation of derivatives by Lagrange and Hermite interpolation
• Mean convergence of Hermite-Fejér interpolation
• Some results in the theory of interpolation using the Legendre polynomial and its derivative
• Extensions of Szegö's theory of orthogonal polynomials. II
• A study of some interpolatory processes based on the roots of Legendre polynomials
• Mean convergence of derivates of Lagrange interpolation
• Uniform convergence of derivatives of Lagrange interpolation
• Interpolation and simultaneous mean convergence of derivatives
• On the Order of Convergence of Simultaneous Approximation by Lagrange-Hermite Interpolation
• Mean Convergence of Lagrange Interpolation. III
• Stieltjes Polynomials and Related Quadrature Rules
• Pointwise Simultaneous Convergence of Extended Lagrange Interpolation with Additional Knots
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• Orthogonal polynomials
• Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item