We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients van...
In this paper, we study a flexible piecewise approximation technique based on the use of the idea of the partition of unity. The approximations are piecewisely defined, globally sm...
A band-dominant function on the Euclidean sphere embedded in Rq+1 is the restriction to this sphere of an entire function of q + 1 complex variables having a finite exponential ty...
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, J...
This paper is devoted to the analysis of network approximation in the framework of approximation and regularization theory. It is shown that training neural networks and similar n...
We discuss the problem of detecting the location of discontinuities of derivatives of a periodic function, given either finitely many Fourier coefficients of the function, or the ...