A variety of techniques have been developed for the approximation of non-periodic functions. In particular, there are approximation techniques based on rank-$1$ lattices and transformed rank-$1$ lattices, including methods that use sampling sets consisting of Chebyshev- and tent-transformed nodes. We compare these methods with a parameterized transformed Fourier system that yields similar $\ell_2$-approximation errors.

翻译：为非周期性功能近似,已经开发了各种技术,特别是基于1美元级拉特和1美元级变换拉特技术的近似技术,包括使用由Chebyshev和帐篷转换的节点组成的抽样组的方法,我们将这些方法与参数化的Fourier系统进行比较,这个系统产生类似$/ell_2美元接近差错。