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Abstract
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We demonstrate that if
and
is not an even
function, then
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.
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Keywords
multiplier sequences, Chebyshev polynomials, zeros of
polynomials, hyperbolic polynomials, linear operators
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Mathematical Subject Classification
Primary: 30C15
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Milestones
Received: 30 June 2022
Revised: 5 October 2022
Accepted: 10 October 2022
Published: 31 October 2023
Communicated by Michael Dorff
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© 2023 MSP (Mathematical Sciences
Publishers). |
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