6 research outputs found
Parity of polynomial multiplier sequences for the Chebyshev basis.
Abstract. We demonstrate that if p β R[x] and p is not an even function, then {p(k)}β
k=0 is not a multiplier sequence for the basis of Chebyshev polynomials of the first kind. We
also give a characterization of geometric multiplier sequences for the Chebyshev basis.Ye