Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind
In this paper, the change of bases transformations between the Bernstein polynomial basis and the Chebyshev polynomial basis of the fourth kind are studied and the matrices of transformation among these bases are constructed. Some examples are given.
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/2/120 |
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doaj-0e545acf7b9e421ea0e1e288af6e6a662020-11-24T21:34:37ZengMDPI AGMathematics2227-73902019-01-017212010.3390/math7020120math7020120Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth KindAbedallah Rababah0Esraa Hijazi1Department of Mathematical Sciences, United Arab Emirates University, 15551 Al Ain, UAEDepartment of Mathematics, Jordan University of Science and Technology, 22110 Irbid, JordanIn this paper, the change of bases transformations between the Bernstein polynomial basis and the Chebyshev polynomial basis of the fourth kind are studied and the matrices of transformation among these bases are constructed. Some examples are given.https://www.mdpi.com/2227-7390/7/2/120Bernstein polynomialsChebyshev polynomials of fourth kindcomputer aided designbasis transformation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Abedallah Rababah Esraa Hijazi |
| spellingShingle |
Abedallah Rababah Esraa Hijazi Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind Mathematics Bernstein polynomials Chebyshev polynomials of fourth kind computer aided design basis transformation |
| author_facet |
Abedallah Rababah Esraa Hijazi |
| author_sort |
Abedallah Rababah |
| title |
Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind |
| title_short |
Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind |
| title_full |
Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind |
| title_fullStr |
Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind |
| title_full_unstemmed |
Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind |
| title_sort |
change of basis transformation from the bernstein polynomials to the chebyshev polynomials of the fourth kind |
| publisher |
MDPI AG |
| series |
Mathematics |
| issn |
2227-7390 |
| publishDate |
2019-01-01 |
| description |
In this paper, the change of bases transformations between the Bernstein polynomial basis and the Chebyshev polynomial basis of the fourth kind are studied and the matrices of transformation among these bases are constructed. Some examples are given. |
| topic |
Bernstein polynomials Chebyshev polynomials of fourth kind computer aided design basis transformation |
| url |
https://www.mdpi.com/2227-7390/7/2/120 |
| work_keys_str_mv |
AT abedallahrababah changeofbasistransformationfromthebernsteinpolynomialstothechebyshevpolynomialsofthefourthkind AT esraahijazi changeofbasistransformationfromthebernsteinpolynomialstothechebyshevpolynomialsofthefourthkind |
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1725948611562307584 |