تقرير
More properties of $(\beta,\gamma)$-Chebyshev functions and points
العنوان: | More properties of $(\beta,\gamma)$-Chebyshev functions and points |
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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 |
URL الوصول: | http://arxiv.org/abs/2305.03370 |
رقم الأكسشن: | edsarx.2305.03370 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |