Comments on "Proof of Weierstrass approximation theory using band-limited functions"
Jerram L. Brown, Charles R. Giardina, Paul M. Chirlian · Proceedings of the IEEE · 1973
A simple proof of the Weierstrass approximation theorem is given which uses only elementary Fourier series results. This is an alternative to a recent proof of the subject theorem by Giardina and Chirlian, where Fourier integrals and band-limited functions were employed.