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math.NA2026
From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities
Leonard Peter Bos, Lucia Romani, Alberto Viscardi
In this paper we derive new identities satisfied by Chebyshev polynomials of the first kind and big q-Jacobi polynomials. An immediate benefit of the derived identities is the achi…
math.NA2020
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
Luca Gemignani, Lucia Romani, Alberto Viscardi
The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding dual univariate in…
math.NA2019
Dual Univariate Interpolatory Subdivision of Every Arity: Algebraic Characterization and Construction
Lucia Romani, Alberto Viscardi
A new class of univariate stationary interpolatory subdivision schemes of dual type is presented. As opposed to classical primal interpolatory schemes, these new schemes have masks…