Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients

Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients
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光滑函数沃尔什系数的公式及其在沃尔什系数上界的应用

DOI：
10.1016/j.jat.2015.12.002
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发表时间：
2016
期刊：
J. Approx. Theory
影响因子：
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通讯作者：
K.Suzuki and T.Yoshiki
K.Suzuki and T.Yoshiki
中科院分区：
--
文献类型：
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作者：
Masaki Watanabe;Ryohei Yamamoto;宮川創;So Miyagawa;山本涼平;宮川創;Ujo Goto and Ryohei Yamamoto;So Miyagawa;山本涼平・後藤宇生;So Miyagawa;山本涼平・後藤宇生;So Miyagawa;宮川創;Ujo Goto and Ryohei Yamamoto;宮川創;宮川創;K.Suzuki and T.Yoshiki

文献摘要

相似文献

我们建立了C α[0,1]中整数α≥1时函数的b进Walsh系数的公式，并给出了这些函数的Walsh系数的上界。我们还研究了复制核Hilbert空间中周期函数和非周期函数的Walsh系数。
We establish formulas for the b-adic Walsh coefficients of functions in C α [0, 1] for an integer α≥ 1 and give upper bounds on the Walsh coefficients of these functions. We also study the Walsh coefficients of periodic and non-periodic functions in reproducing kernel Hilbert spaces.