Some Chebyshev approximations by polynomials in two variables

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Chebyshev polynomial approximations for some hypergeometric systems

The hypergeometric type differential equations of the second order with polynomial coefficients and their systems are considered. The realization of the Lanczos Tau Method with minimal residue is proposed for the approximate solution of the second order differential equations with polynomial coefficients. The scheme of Tau method is extended for the systems of hypergeometric type differential e...

متن کامل

Minimal polynomials of some beta-numbers and Chebyshev polynomials

We consider the β-expansion of 1 which encodes a rational rotation on R/Z under a certain partition. Via transforming its βpolynomial into a linear combination of Chebyshev polynomials, we specify the minimal polynomial of β over the field of rationals. At the end, some number theoretical conjectures are posed with computational evidence to support them.

متن کامل

Dickson Polynomials, Chebyshev Polynomials, and Some Conjectures of Jeffery

By using Dickson polynomials in several variables and Chebyshev polynomials of the second kind, we derive the explicit expression of the entries in the array defining the sequence A185905. As a result, we obtain a straightforward proof of some conjectures of Jeffery concerning this sequence and other related ones.

متن کامل

On Multivariate Chebyshev Polynomials and Spectral Approximations on Triangles

In this paper we describe the use of multivariate Chebyshev polynomials in computing spectral derivations and Clenshaw–Curtis type quadratures. The multivariate Chebyshev polynomials give a spectrally accurate approximation of smooth multivariate functions. In particular we investigate polynomials derived from the A2 root system. We provide analytic formulas for the gradient and integral of A2 ...

متن کامل

Curves Defined by Chebyshev Polynomials

Working over a field k of characteristic zero, this paper studies line embeddings of the form φ = (Ti, Tj , Tk) : A → A, where Tn denotes the degree n Chebyshev polynomial of the first kind. In Section 4, it is shown that (1) φ is an embedding if and only if the pairwise greatest common divisor of i, j, k is 1, and (2) for a fixed pair i, j of relatively prime positive integers, the embeddings ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Approximation Theory

سال: 1973

ISSN: 0021-9045

DOI: 10.1016/0021-9045(73)90009-9