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math.CA2019
Iterated integrals and Borwein-Chen-Dilcher polynomials
Manuel Bello-Hernández, Héctor Pijeira-Cabrera, Daniel Rivero-Castillo
We study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein-Chen-Dilcher's polynomials play an important role in this issue. For these poly…
math.CA2019
Discrete-Continuous Jacobi-Sobolev Spaces and Fourier Series
Abel Díaz-González, Francisco Marcellán-Español, Héctor Pijeira-Cabrera +1
Let , $\ell\in \NN$, and $\varpi=(ω_0,ω_1, \dots, ω_{\ell-1})\in \RR^{\ell}$. Given a suitable function , we define the discrete-continuous Jacobi-Sobolev norm…