Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space

Author:

Fedotov A. I.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference9 articles.

1. I. P. Natanson, Constructive Theory of Functions (GITTL, Moscow–Leningrad, 1949) [in Russian].

2. B. G. Gabdulkhaev, “Approximation in H-spaces and applications,” Dokl. Akad. Nauk SSSR 223 (6), 1293–1296 (1975) [SovietMath. Dokl. 223 (6), 1067–1071 (1976)].

3. B. A. Amosov, “On the approximate solution of elliptic pseudodifferential equations on a smooth closed curve,” Z. Anal. Andwen. 9 (6), 545–563 (1990).

4. B. G. Gabdulkhaev and L. B. Ermolaeva, “The Lagrange interpolation polynomials in Sobolev spaces,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 5, 7–19 (1997) [RussianMath. (Iz. VUZ) 41 (5), 4–16 (1997)].

5. J. Saranen and G. Vainikko, “Fast solvers of integral and pseudodifferential equations on closed curves,” Math. Comp. 67 (224), 1473–1491 (1998).

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