Holomorphic Jackson's theorems in polydiscs |
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Authors: | Guangbin Ren Mingzhi Wang |
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Institution: | Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026, P.R. China |
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Abstract: | The purpose of this article is to establish Jackson-type inequality in the polydiscs UN of for holomorphic spaces X, such as Bergman-type spaces, Hardy spaces, polydisc algebra and Lipschitz spaces. Namely,where is the deviation of the best approximation of fX by polynomials of degree at most kj about the jth variable zj with respect to the X-metric and is the corresponding modulus of continuity. |
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Keywords: | Bergman spaces Modulus of continuity Polynomial approximation |
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