Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 윤정호 | * |
dc.date.accessioned | 2016-08-27T04:08:08Z | - |
dc.date.available | 2016-08-27T04:08:08Z | - |
dc.date.issued | 2016 | * |
dc.identifier.issn | 0021-9045 | * |
dc.identifier.issn | 1096-0430 | * |
dc.identifier.other | OAK-18514 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/218183 | - |
dc.description.abstract | Several properties of stationary subdivision schemes are nowadays well understood. In particular, it is known that the polynomial generation and reproduction capability of a stationary subdivision scheme is strongly connected with sum rules, its convergence, smoothness and approximation order. The aim of this paper is to show that, in the non-stationary case, exponential polynomials and approximate sum rules play an analogous role of polynomials and sum rules in the stationary case. Indeed, in the non-stationary univariate case we are able to show the following important facts: (i) reproduction of N exponential polynomials implies approximate sum rules of order N; (ii) generation of N exponential polynomials implies approximate sum rules of order N, under the additional assumption of asymptotical similarity and reproduction of one exponential polynomial; (iii) reproduction of an N-dimensional space of exponential polynomials and asymptotical similarity imply approximation order N; (iv) the sequence of basic limit functions of a non-stationary scheme reproducing one exponential polynomial converges uniformly to the basic limit function of the asymptotically similar stationary scheme. (C) 2016 Elsevier Inc. All rights reserved. | * |
dc.language | English | * |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | * |
dc.subject | Subdivision schemes | * |
dc.subject | Exponential polynomial generation and reproduction | * |
dc.subject | Asymptotical similarity | * |
dc.subject | Approximate sum rules | * |
dc.subject | Approximation order | * |
dc.title | Approximation order and approximate sum rules in subdivision | * |
dc.type | Article | * |
dc.relation.volume | 207 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 380 | * |
dc.relation.lastpage | 401 | * |
dc.relation.journaltitle | JOURNAL OF APPROXIMATION THEORY | * |
dc.identifier.doi | 10.1016/j.jat.2016.02.014 | * |
dc.identifier.wosid | WOS:000376694800020 | * |
dc.identifier.scopusid | 2-s2.0-84962835205 | * |
dc.author.google | Conti, Costanza | * |
dc.author.google | Romani, Lucia | * |
dc.author.google | Yoon, Jungho | * |
dc.contributor.scopusid | 윤정호(57221276460) | * |
dc.date.modifydate | 20240118161402 | * |