Weighted L, Error of Lagrange Interpolation * Page 1 JoURNAL OF APPROxIMATION THEORY
82, 321–339 (1995) Weighted L, Error of Lagrange Interpolation * GIUSSEPPE MASTROIANNI …

Mean Convergence of Lagrange Interpolation. III Page 1 TRANSACTIONS OF THE AMERICAN
MATHEMATICAL SOCIETY Volu-me 282, Number 2, April 1984 MEAN CONVERGENCE OF …

It is shown that for any n+ 1 times continuously differentiable function f and any choice of n+
1 knots, the Lagrange interpolation polynomial L of degree n satisfies∥ f (n)− L (n)∥⩽∥ ω …

Quadrature convergence of the extended Lagrange interpolant $ L_ {2n+ 1} f $ for any
continuous function $ f $ is studied, where the interpolation nodes are the $ n $ zeros $\tau …

In [8] J. Szabados established a relation between the “good” nodes of weighted Lagrange
interpolation and the weighted Lebesgue constants. In this note we give a generalization of …

Explicit error bounds for the derivatives of piecewise-Lidstone interpolation Page 1 JOURNAL OF
COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER Journal of Computational and …

Solution of Tur6n’s Problem on Divergence of Lagrange Interpolation in LP with p > 2* Page 1
JOURNAL OF APPROXIMATION THEORY 43, 190-193 (1985) Solution of Tur6n’s Problem on …

1. Introduction. We investigate the Lagrange interpolation on Jacobi abscissas for functions
of bounded variation on [-1, 1]. Error estimates in weighted LP-norms are established, which …

Lagrange interpolation to any continuous function on [-1, 1] at the zeros of orthogonal
polynomials is known to converge in the mean. Here, following Bellen, we study mean …

We establish uniform estimates for the weighted Lebesgue constant of Lagrange
interpolation for a large class of exponential weights on [-1, 1]. We deduce theorems on …