6 research outputs found

    Parity of polynomial multiplier sequences for the Chebyshev basis.

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    Abstract. We demonstrate that if p ∈ R[x] and p is not an even function, then {p(k)}∞ 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
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