In this article, we use the knowledge of positive definite tensors to develop a concept of positive definite multi-kernels to construct the kernel-based interpolants of scattered data. By the techniques of reproducing kernel Banach spaces, the optimal recoveries and error analysis of the kernel-based interpolants are shown for a special class of strictly positive definite multi-kernels.

中文翻译：

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用于分散数据插值的正定多核

在本文中，我们使用正定张量的知识来开发正定多核的概念，以构造基于核的分散数据插值。通过再现核巴拿赫空间的技术，给出了一类特殊的严格正定多核的基于核的插值的最优恢复和误差分析。