in Sobolev spaces Page 1 Journal of Computational and Applied Mathematics 43 (1992) 53-80
53 North-Holland CAM 1242 Polynomial interpolation results in Sobolev spaces Christine …

This book gives a systematic survey on the most significant results of interpolation theory in
the last forty years. It deals with Lagrange interpolation including lower estimates, fine and …

IA*, -21ogn-xl= O( 1 Page 1 SIAM J. NUMER. ANAL. Vol. 27, No. 5, pp. 1322-1331, October
1990 (C) 1990 Society for Industrial and Applied Mathematics 011 OPTIMAL LEBESGUE …

Defined by Means of Polygons Page 1 JOURNAL or APPROXIMATION rmzoav 80, 32l~35l (
I995) Norm Estimates for Interpolation Methods Defined by Means of Polygons FERNANDO …

Results on weighted polynomial approximation and interpolation with respect to Freud
weights are extended to a more general class of weights. Among others, weights having …

We propose a modified general technique to derive quantitative assertions on lacunary
interpolation by algebraic polynomials. The inequalities obtained are consequences of a …

We consider the error analysis of Lagrange interpolation on triangles and tetrahedrons. For
Lagrange interpolation of order one, Babuška and Aziz showed that squeezing a right …

Further, let 1> xln (w)> xZn (w)>.**> x,,(w)>-1 be the zeros of pn (w, x). For a continuous
functionf on [-1, 11, the Lagrange interpolation polynomial L,(w, f) is defined to be the unique …

In this paper we study the quantities [formula] which define error bounds for the
approximation of functions ƒ∈ Wm∞[a, b] by the interpolating Lagrange polynomials lm− 1 …

On the Lagrange Interpolation Polynomials of Entire Functions Page 1 JOURNAL OF
APPROXIMATION THEORY 41, 170-l 78 (1984) On the Lagrange Interpolation Polynomials of …