Best constants of harmonic approximation of some convolution classes associated with Laplace operator in d-variables |
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| Authors: | Bo Ling YongPing Liu |
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| Institution: | 1. School of Mathematical Sciences, Beijing Normal University Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China
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| Abstract: | In this paper, we consider the best EFET (entire functions of the exponential type) approximations of some convolution classes associated with Laplace operator on ? d and obtain exact constants in the spaces L 1(?2) and L 2(? d ). Moreover, the best constants of trigonometric approximations of their analogies on $\mathbb{T}^d $ are also gained. |
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