Abstract
In this paper, the generalized third-kind Chebyshev polynomials are considered. Motivated by the fact that the Bernstein polynomial basis is numerically stable, the generalized Chebyshev polynomials of third kind are characterized by writing them in terms of the Bernstein basis. This representation is given in explicit form. Moreover, the weighted definite integrals of the generalized third-kind Chebyshev polynomials multiplied with the Bernstein polynomials are found.
| Original language | English |
|---|---|
| Pages (from-to) | 515-523 |
| Number of pages | 9 |
| Journal | Proceedings of the Jangjeon Mathematical Society |
| Volume | 21 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2018 |
| Externally published | Yes |
Keywords
- Basis Transformation
- Bernstein Polynomials
- Computer Aided Design
- Third-Kind Generalized Chebyshev Polynomials
ASJC Scopus subject areas
- General Mathematics
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