نتایج جستجو برای: chebyshev approximation

تعداد نتایج: 201323  

2007
ARTHUR T. BENJAMIN LARRY ERICKSEN PALLAVI JAYAWANT MARK SHATTUCK

The Chebyshev polynomials have many beautiful properties and countless applications, arising in a variety of continuous settings. They are a sequence of orthogonal polynomials appearing in approximation theory, numerical integration, and differential equations. In this paper we approach them instead as discrete objects, counting the sum of weighted tilings. Using this combinatorial approach, on...

Journal: :Journal of Computational and Applied Mathematics 1981

Journal: :Journal of Approximation Theory 1991

Journal: :EURASIP Journal on Advances in Signal Processing 2010

Journal: :Numerische Mathematik 2010
Shuhuang Xiang Xiaojun Chen Haiyong Wang

This paper improves error bounds for Gauss, Clenshaw-Curtis and Fejér’s first quadrature by using new error estimates for polynomial interpolation in Chebyshev points. We also derive convergence rates of Chebyshev interpolation polynomials of the first and second kind for numerical evaluation of highly oscillatory integrals. Preliminary numerical results show that the improved error bounds are ...

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