Mean Convergence of Lagrange Interpolation for Exponential weights on [-1, 1]

DOI10.4153/CJM-1998-062-5zbMath0930.41001MaRDI QIDQ4235705

Doron S. Lubinsky

Publication date: 31 May 1999

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Lagrange interpolationexponential weightsmean convergenceJacobi weights

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Nontrigonometric harmonic analysis (42C99)

Related Items (8)

Quadrature sums and Lagrange interpolation for general exponential weights ⋮ Christoffel functions and mean convergence for Lagrange interpolation for exponential weights ⋮ Marcinkiewicz-Zygmund inequalities and the numerical approximation of singular integrals for exponential weights: Methods, results and open problems, some new, some old ⋮ BOUNDEDNESS AND UNIFORM NUMERICAL APPROXIMATION OF THE WEIGHTED HILBERT TRANSFORM ON THE REAL LINE ⋮ Necessary conditions for weighted mean convergence of Lagrange interpolation for exponential weights ⋮ On mean convergence of Hermite-Fejér and Hermite interpolation for Erdős weights ⋮ Polynomial approximation with Pollaczek-type weights. A survey ⋮ Necessary conditions of convergence of Hermite-Fejér interpolation polynomials for exponential weights

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