Chebyshev polynomials, a central class of orthogonal polynomials, have long been pivotal in numerical analysis, approximation theory and the solution of differential equations. Their inherent ...

Chebyshev approximation involving continuous functions vanishing on a closed set V is considered. The approximating families studied have the betweenness property. Examples are given of such families.

We are concerned with the problem of minimizing the supremum norm on an interval of a nonzero polynomial of degree at most n with integer coefficients. This is an old and hard problem that cannot be ...

The circuit in Figure 1 was given to me some while ago as a three-pole, active 1 dB Chebyshev lowpass filter. I never confirmed that its transfer function complied with the Chebyshev polynomial, but ...

In 2022, an important event for the global scientific community is to take place in St. Petersburg - a meeting of the International Congress of Mathematicians. Choosing Russia as the venue of a ...

Three of the common filter topologies are Chebyshev, Butterworth, and Bessel. Which filter topology has the flatest response in the passband? Which filter topology has the steepest decline into the ...