APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY BILINEAR FORMS

APPROXIMATION OF PERIODIC FUNCTIONS OF SEVERAL VARIABLES BY BILINEAR FORMS
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多变量周期函数的双线性逼近

DOI:
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发表时间:
1987
期刊:
影响因子:
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通讯作者:
V. Temlyakov
V. Temlyakov
中科院分区:
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文献类型:
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作者:
V. Temlyakov

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得到量的阶数,其中是一类具有混合导数的函数,或相应的预极限差分,有界于。在此过程中,得到了一些独立有趣的结果:Hardy-Littlewood定理的一个推广,以及最佳项三角逼近的阶数。参考书目:16篇。
The orders of the quantities are obtained, where  is a class of functions with mixed derivative, or the corresponding prelimiting difference, bounded in . In the process some results of independent interest are obtained: a generalization of the Hardy-Littlewood theorem, and the orders of the best -term trigonometric approximations. Bibliography: 16 titles.