On Hermite-Fejér interpolation in a Jordan domain

Author:

Chui Charles K.,Shen Xie Chang

Abstract

The Hermite-Fejér interpolation problem on a Jordan domain is studied. Under certain mild conditions on the smoothness of the boundary curve, we give both uniform and L p {L^p} , 0 > p > 0 > p > \infty , estimates on the rate of convergence. Our estimates are sharp even for the unit disk setting.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

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2. The convergence of Lagrange interpolation polynomials in the complex domain;Al′per, S. Ja.;Izv. Vys\v{s}. U\v{c}ebn. Zaved. Matematika,1969

3. Convergence of complex Lagrange interpolation polynomials on the locus of the interpolation points;Curtiss, J. H.;Duke Math. J.,1965

4. Pure and Applied Mathematics, Vol. 38;Duren, Peter L.,1970

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