Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials
- 주제(키워드) Convergence , Exponential polynomial reproduction , Hermite subdivision scheme , Smoothness , Spectral condition , Taylor scheme
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier B.V.
- 발행년도 2019
- URI http://www.dcollection.net/handler/ewha/000000155976
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.cam.2018.07.050
초록/요약
The aim of this paper is to study the convergence and smoothness of non-stationary Hermite subdivision schemes of order 2. In Conti et al. (2017) provided sufficient conditions for the convergence of a non-stationary Hermite subdivision scheme that reproduces a set of functions including exponential polynomials. The analysis has been focused on the non-stationary Hermite scheme with the order ≥3, but the case of 2 (which is practically most useful) is yet to be investigated. In this regard, the first goal of this paper is to fill the gap. We analyze the convergence of non-stationary Hermite subdivision schemes of order 2. Next, we provide a tool which allows us to estimate the smoothness of a non-stationary Hermite scheme by developing a novel factorization framework of non-stationary vector subdivision operators. Using the proposed non-stationary factorization framework, we estimate the smoothness of the non-stationary Hermite subdivision schemes: the non-stationary interpolatory Hermite scheme proposed by Conti et al., (2015) and a new class of non-stationary dual Hermite subdivision schemes of de Rham-type. © 2018 Elsevier B.V.
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