Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

The conditional variance function in a heteroscedastic, nonparametric regression model is estimated by linear smoothing of squared residuals. Attention is focused on local polynomial smoothers. Both ...

Properties of the Lebesgue function associated with interpolation at the Chebyshev nodes $\ {\operatorname {\cos}\lbrack (2k - 1)\pi/ (2n)\rbrack, k = 1,2, \cdots, n\}$ are studied. It is proved that ...

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 spectrogram ...

However, this spectrogram approach renders difficulties in resolving two targets with the same velocity but at different ranges. We propose a new method that solves this problem by enabling the MFCW ...

Bernstein Polynomial Estimation and Density Functions Publication Trend The graph below shows the total number of publications each year in Bernstein Polynomial Estimation and Density Functions.

Mathematicians Thought This Algebra Problem Was Impossible. Two Geniuses May Have Found a Solution. Polynomials above 4 degrees have a shiny new target on their back.