A note on a result of Zolotarev and Bernstein |
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Authors: | A. R. Reddy |
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Affiliation: | (1) Institute for Advanced Study, 08540 Princeton, NJ, USA |
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Abstract: | In this note we obtain error bounds to x2n+1– x2n on [–1, 1] by polynomials of degree at most (2n–1). The result proved here improves and extends some of the known results of Zolotarev and Bernstein. The proof presented here is different (and simple) from the one adopted by Zolotarev and Bernstein. |
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