The second part states that if a function is continuous, then it has an antiderivative, and the integral of the function can be computed using this antiderivative. Step-by-step examples illustrate how ...

Recall that an indefinite integral (or antiderivative) is so called as it provides a family of solutions with a constant term. It is called indefinite as the constant \(c\) can take any real value, ...

We study the problem of reconstructing the Faber--Schauder coefficients of a continuous function f from discrete observations of its antiderivative F. Our approach starts with formulating this problem ...

Abstract: In the last decades many efficient methods have been proposed to generate waveforms with reduced aliasing, proving this field quite mature. However, the introduction of Antiderivative ...

Abstract: Aliasing is major problem in any audio signal processing chain involving nonlinearity. The usual approach to antialiasing involves operation at an oversampled rate—usually 4 to 8 times an ...