In this paper we show that, if a problem of (0, 1, · · · , m — 2, m)-interpolation on the zeros of the Jacobi polynomials $P_n^{\left( {\alpha ,\beta } \right ...

The trigonometric interpolants to a periodic function f in equispaced points converge if f is Dini-continuous, and the associated quadrature formula, the trapezoidal rule, converges if f is continuous ...

The first digital block is interpolation, which increases the sample rate of the digital signal inside the DAC. Interpolation typically is done in steps of a two times increase in sample rate. It is ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Layer potentials - quadrature error estimates and approximation with error control When numerically solving PDEs reformulated as integral equations, so called layer ...

Two things have been overlooked with phasing amplitude modulation. One is the importance of pulse modulation; the other is that logic gates can be used for analog signal processing. Both of these ...