تقرير
More properties of $(\beta,\gamma)$-Chebyshev functions and points
| العنوان: | More properties of $(\beta,\gamma)$-Chebyshev functions and points |
|---|---|
| المؤلفون: | De Marchi, Stefano, Elefante, Giacomo, Marchetti, Francesco, Mariethoz, Jean-Zacharie |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Numerical Analysis |
| الوصف: | Recently, $(\beta,\gamma)$-Chebyshev functions, as well as the corresponding zeros, have been introduced as a generalization of classical Chebyshev polynomials of the first kind and related roots. They consist of a family of orthogonal functions on a subset of $[-1,1]$, which indeed satisfies a three-term recurrence formula. In this paper we present further properties, which are proven to comply with various results about classical orthogonal polynomials. In addition, we prove a conjecture concerning the Lebesgue constant's behavior related to the roots of $(\beta,\gamma)$-Chebyshev functions in the corresponding orthogonality interval. |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/2305.03370Test |
| رقم الانضمام: | edsarx.2305.03370 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |