Positive Definite Multi-Kernels for Scattered Data Interpolations

Time: 2020-10-10 14:28:56

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 theorems 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. 


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