On Dimension Extension of a Class of Iterative Equations
This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). The...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/180184 |
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| _version_ | 1832565194203594752 |
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| author | Juan Su Xinhan Dong |
| author_facet | Juan Su Xinhan Dong |
| author_sort | Juan Su |
| collection | DOAJ |
| description | This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). The obtained results in this paper are complementary to some published results. As an application, we construct orthogonal symmetric multiwavelet with additional vanishing moments. Two examples are also arranged to demonstrate the correctness and effectiveness of the main results. |
| format | Article |
| id | doaj-art-b85a5820b4af429b8a8ca5565ae01fcf |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b85a5820b4af429b8a8ca5565ae01fcf2025-02-03T01:09:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/180184180184On Dimension Extension of a Class of Iterative EquationsJuan Su0Xinhan Dong1College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaCollege of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, ChinaThis investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). The obtained results in this paper are complementary to some published results. As an application, we construct orthogonal symmetric multiwavelet with additional vanishing moments. Two examples are also arranged to demonstrate the correctness and effectiveness of the main results.http://dx.doi.org/10.1155/2013/180184 |
| spellingShingle | Juan Su Xinhan Dong On Dimension Extension of a Class of Iterative Equations Abstract and Applied Analysis |
| title | On Dimension Extension of a Class of Iterative Equations |
| title_full | On Dimension Extension of a Class of Iterative Equations |
| title_fullStr | On Dimension Extension of a Class of Iterative Equations |
| title_full_unstemmed | On Dimension Extension of a Class of Iterative Equations |
| title_short | On Dimension Extension of a Class of Iterative Equations |
| title_sort | on dimension extension of a class of iterative equations |
| url | http://dx.doi.org/10.1155/2013/180184 |
| work_keys_str_mv | AT juansu ondimensionextensionofaclassofiterativeequations AT xinhandong ondimensionextensionofaclassofiterativeequations |