Approximation Constants in Equidistant Lagrange Interpolation |
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Authors: | Revers Michael |
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Affiliation: | (1) Department of Mathematics, Hellbrunnerstrasse 34, A-5020 Salzburg, Austria |
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Abstract: | In this paper we present a new limit relation for the equidistant Lagrange interpolation polynomials to |x|, (0, 1] on the internal [–1, 1]. The result extends a well-known result of D. L. Berman and S. M. Losinskii. Furthermore, we briefly discuss on a possible connection of the limit relation to another prominent constant in best uniform polynomial approximation for |x| - the so-called Bernstein constant. |
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Keywords: | Polynomial interpolation equidistant nodes Bernstein constant |
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