منابع مشابه
Polynomials Related to Generalized Chebyshev Polynomials
We study several classes of polynomials, which are related to the Chebyshev, Morgan-Voyce, Horadam and Jacobsthal polynomials. Thus, we unify some of well-known results.
متن کاملGeneralized Chebyshev polynomials of the second kind
We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis. These polynomials can be used to describe the approximation of continuous functions by Chebyshev interpolation and Chebyshev series and how to efficiently compute such approximations. We conclude the pap...
متن کاملGeneralized Gorshkov-Wirsing Polynomials and the Integer Chebyshev Problem
Interval LLL SIMPLEX HS Amoroso Lower # CP [-1, 1] 1/1.5314 1/1.5334 1/1.4772 1/1.4520 1/1.5417 8 [-1/2, 1/2] 1/2.3559 1/2.3619 1/2.1822 1/1.4520 1/2.3768 9 [-1/3, 1/3] 1/3.2522 1/3.2617 1/3.0000 1/1.3887 1/3.2842 7 [-2/3, 2/3] 1/1.8820 1/1.8883 1/1.7237 1/1.3887 1/1.9845 5 [-1/4, 1/4] 1/4.1921 1/4.2025 1/4.0000 1/1.1097 1/4.2260 6 [-3/4, 3/4] 1/1.7897 1/1.7935 1/1.7237 1/1.1097 1/1.9653 3 [-1/...
متن کاملApproximation by Critical Points of Generalized Chebyshev Polynomials
We show that any compact, connected set in the plane can be approximated by the critical points of a polynomial with only two critical values. Date: April 2011. 1991 Mathematics Subject Classification. Primary: 30C62 Secondary:
متن کاملCharacterization of the generalized Chebyshev-type polynomials of first kind
Orthogonal polynomials have very useful properties in the mathematical problems, so recent years have seen a great deal in the field of approximation theory using orthogonal polynomials. In this paper, we characterize a sequence of the generalized Chebyshev-type polynomials of the first kind { T (M,N) n (x) } n∈N∪{0} , which are orthogonal with respect to the measure √ 1−x2 π dx + Mδ−1 + Nδ1, w...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications
سال: 2018
ISSN: 1509-9415,2084-0373
DOI: 10.7151/dmgaa.1278