Browsing by Subject "Jacobi polynomials"
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Article
On a conjectured inequality of Gautschi and Leopardi for Jacobi polynomials
(2007)Motivated by work on positive cubature formulae over the spherical surface, Gautschi and Leopardi conjectured that the inequality (equation presented) holds for α, β > - 1 and n ≥ 1, θ∈ ∈(0, π), where Pn(α,β)(x) are the ...
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Article
Positivity of Cotes numbers at more Jacobi abscissas
(1996)The positivity of certain finite sums of even ultraspherical polynomials has been identified by Askey as a specially interesting case of a more general problem concerning positivity of Cotes numbers at Jacobi abscissas. ...