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- W4298532011 abstract "We consider the problem of the representation of real continuous functions by linear superpositions $sum_{i=1}^{k}g_{i}circ p_{i}$ with continuous $g_{i}$ and $p_{i}$. This problem was considered by many authors. But complete, and at the same time explicit and practical solutions to the problem was given only for the case $k=2$. For $k>2$, a rather practical sufficient condition for the representation can be found in Sternfeld [17] and Sproston, Strauss [16]. In this short note, we give a necessary condition of such kind for the representability of continuous functions." @default.
- W4298532011 created "2022-10-02" @default.
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- W4298532011 date "2015-01-21" @default.
- W4298532011 modified "2023-10-18" @default.
- W4298532011 title "A note on the representation of continuous functions by linear superpositions" @default.
- W4298532011 doi "https://doi.org/10.48550/arxiv.1501.05277" @default.
- W4298532011 hasPublicationYear "2015" @default.
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