Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2

Joint Authors

Xue, Yanmei
Bi, Ning

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-07

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

We provide a sufficient condition for constructing a class of compactly supported refinable functions with componentwise polynomial property in ℝ2.

An iteration algorithm is developed to compute the polynomial on each component of the functions' support.

Finally, two examples for constructing the symmetric refinable componentwise polynomial functions are given.

American Psychological Association (APA)

Xue, Yanmei& Bi, Ning. 2011. Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-463362

Modern Language Association (MLA)

Xue, Yanmei& Bi, Ning. Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2. Abstract and Applied Analysis No. 2011 (2011), pp.1-14.
https://search.emarefa.net/detail/BIM-463362

American Medical Association (AMA)

Xue, Yanmei& Bi, Ning. Construction of Compactly Supported Refinable Componentwise Polynomial Functions in ℝ2. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-14.
https://search.emarefa.net/detail/BIM-463362

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463362