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In this note we estimate the L^p-error of trigonometric interpolation for bivariate functions of bounded variation in the sense of Hardy-Krause. Especially, we consider blending interpolation and Lagrange interpolation with respect to uniform meshes. Some of these results can be given with explicit constants and can be extended in a simple manner to the multivariate case.
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This page is a summary of: Trigonometric interpolation for bivariate functions of bounded variation, Banach Center Publications, January 1989, Institute of Mathematics, Polish Academy of Sciences,
DOI: 10.4064/-22-1-309-321.
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