超越b样条:指数伪样条和再现指数多项式的细分方案

IF 0.6 Q3 MATHEMATICS

Dolomites Research Notes on Approximation Pub Date : 2017-01-01 DOI:10.14658/PUPJ-DRNA-2017-SPECIAL_ISSUE-6

C. Conti, M. Cotronei, Lucia Romani

{"title":"超越b样条:指数伪样条和再现指数多项式的细分方案","authors":"C. Conti, M. Cotronei, Lucia Romani","doi":"10.14658/PUPJ-DRNA-2017-SPECIAL_ISSUE-6","DOIUrl":null,"url":null,"abstract":"The main goal of this paper is to present some generalizations of polynomial B-splines, which include exponential B-splines and the larger family of exponential pseudo-splines. We especially focus on their connections to subdivision schemes. In addition, we generalize a well-known result on the approximation order of exponential pseudo-splines, providing conditions to establish the approximation order of nonstationary subdivision schemes reproducing spaces of exponential polynomial functions. 2010 MSC: 65D17, 65D15, 41A25","PeriodicalId":51943,"journal":{"name":"Dolomites Research Notes on Approximation","volume":"10 1","pages":"31-42"},"PeriodicalIF":0.6000,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":"{\"title\":\"Beyond B-splines: exponential pseudo-splines and subdivision schemes reproducing exponential polynomials\",\"authors\":\"C. Conti, M. Cotronei, Lucia Romani\",\"doi\":\"10.14658/PUPJ-DRNA-2017-SPECIAL_ISSUE-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main goal of this paper is to present some generalizations of polynomial B-splines, which include exponential B-splines and the larger family of exponential pseudo-splines. We especially focus on their connections to subdivision schemes. In addition, we generalize a well-known result on the approximation order of exponential pseudo-splines, providing conditions to establish the approximation order of nonstationary subdivision schemes reproducing spaces of exponential polynomial functions. 2010 MSC: 65D17, 65D15, 41A25\",\"PeriodicalId\":51943,\"journal\":{\"name\":\"Dolomites Research Notes on Approximation\",\"volume\":\"10 1\",\"pages\":\"31-42\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2017-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"10\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Dolomites Research Notes on Approximation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14658/PUPJ-DRNA-2017-SPECIAL_ISSUE-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dolomites Research Notes on Approximation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14658/PUPJ-DRNA-2017-SPECIAL_ISSUE-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 10

摘要

本文的主要目的是给出多项式b样条的一些推广，其中包括指数b样条和更大的指数伪样条族。我们特别关注它们与细分方案的联系。此外，我们推广了关于指数伪样条近似阶的一个著名结果，为建立再现指数多项式函数空间的非平稳细分格式的近似阶提供了条件。2010 msc: 65d17, 65d15, 41a25

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Beyond B-splines: exponential pseudo-splines and subdivision schemes reproducing exponential polynomials

The main goal of this paper is to present some generalizations of polynomial B-splines, which include exponential B-splines and the larger family of exponential pseudo-splines. We especially focus on their connections to subdivision schemes. In addition, we generalize a well-known result on the approximation order of exponential pseudo-splines, providing conditions to establish the approximation order of nonstationary subdivision schemes reproducing spaces of exponential polynomial functions. 2010 MSC: 65D17, 65D15, 41A25

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Dolomites Research Notes on Approximation MATHEMATICS-

CiteScore

1.70

自引率

7.70%

发文量

审稿时长

8 weeks

期刊介绍： Dolomites Research Notes on Approximation is an open access journal that publishes peer-reviewed papers. It also publishes lecture notes and slides of the tutorials presented at the annual Dolomites Research Weeks and Workshops, which have been organized regularly since 2006 by the Padova-Verona Research Group on Constructive Approximation and Applications (CAA) in Alba di Canazei (Trento, Italy). The journal publishes, on invitation, survey papers and summaries of Ph.D. theses on approximation theory, algorithms, and applications.