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arXiv · 2201.07983

General approach to function approximation

Andrej Liptaj
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Abstract

Having a function $f$ and a set of functionals $\{\mathcal{C}_{n}\}$, $c_n^f \equiv \mathcal{C}_n \left(f\right)$, one can interpret function approximation very generally as a construction of some function $\mathcal{A}_{N}^{f}$ such that $c_n^f = \mathcal{C}_n \left(\mathcal{A}_N^f \right)$. All known approximations can be interpreted in this way and we review some of them. In addition, we construct several new expansion types including three rational approximations.

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Andrej Liptaj. 2022-01-18. General approach to function approximation. https://arxiv.org/abs/2201.07983

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