Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which uniformly ...

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

Abstract: In this paper, a new time-frequency analysis method known as the polynomial chirplet transform (PCT) is developed by extending the conventional chirplet transform (CT). By using a polynomial ...

Abstract: Multi-frequency continuous waveform (MFCW) radar transmits a set of CW waveforms with different frequencies, which increase in a stepwise manner. This type of radar usually employs the ...

Let u be a smooth function defined on a rectangular grid. One can construct a blended interpolant Pu which interpolates u and its normal derivatives up to a given order on the grid lines. This paper ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...