A Family of Binary Univariate Nonstationary Quasi-Interpolatory Subdivision Reproducing Exponential Polynomials
Joint Authors
Zhang, Baoxing
Zheng, Hongchan
Pan, Lulu
Peng, Guohua
Song, Weijie
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-04
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, by suitably using the so-called push-back operation, a connection between the approximating and interpolatory subdivision, a new family of nonstationary subdivision schemes is presented.
Each scheme of this family is a quasi-interpolatory scheme and reproduces a certain space of exponential polynomials.
This new family of schemes unifies and extends quite a number of the existing interpolatory schemes reproducing exponential polynomials and noninterpolatory schemes like the cubic exponential B-spline scheme.
For these new schemes, we investigate their convergence, smoothness, and accuracy and show that they can reach higher smoothness orders than the interpolatory schemes with the same reproduction property and better accuracy than the exponential B-spline schemes.
Several examples are given to illustrate the performance of these new schemes.
American Psychological Association (APA)
Zhang, Baoxing& Zheng, Hongchan& Pan, Lulu& Peng, Guohua& Song, Weijie. 2019. A Family of Binary Univariate Nonstationary Quasi-Interpolatory Subdivision Reproducing Exponential Polynomials. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1197151
Modern Language Association (MLA)
Zhang, Baoxing…[et al.]. A Family of Binary Univariate Nonstationary Quasi-Interpolatory Subdivision Reproducing Exponential Polynomials. Mathematical Problems in Engineering No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1197151
American Medical Association (AMA)
Zhang, Baoxing& Zheng, Hongchan& Pan, Lulu& Peng, Guohua& Song, Weijie. A Family of Binary Univariate Nonstationary Quasi-Interpolatory Subdivision Reproducing Exponential Polynomials. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1197151
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197151