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20192026
most citedOn the arithmetic of Padé approximants to the exponential function

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math-ph2026

The Gibbs phenomenon for the Krawtchouk polynomials

John Cullinan, Elisabeth Young

We study the Fourier approximation of the sign function by the Krawtchouk polynomials. We give numerical evidence that the Gibbs phenomenon of the approximation dif…

math-ph2022

Towards a Universal Gibbs Constant

John Cullinan, Santanu Antu

In this paper we build on the work of \cite{kaber} where it was shown that the one-parameter family of Gegenbauer Polynomials (GP) exhibit a Gibbs Phenomenon at a jump discontinuit…