Generalized Tschebyscheff - Ii Weighted Polynomials on Simplicial Domain Mohammad

نویسنده

  • MOHAMMAD A. ALQUDAH
چکیده

In this paper, we construct generalized Tschebyscheff-type weighted orthogonal polynomials U n,r (u,v,w), γ > −1, in the Bernstein-Bézer form over the simplicial domain. We show that U n,r (u,v,w), r = 0,1, . . . ,n; n= 0,1,2, . . . , form an orthogonal system over a triangular domain with respect to the generalized weight function.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Generalized Tschebyscheff of the Second Kind and Bernstein Polynomials Change of Bases

We constructmultiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. Also, we provide an explicit closed from of The generalized Polynomials of degree r less than or equal n in terms of the Bernstein basis of fixed degree n. In addition, we create the change-of-basis matrices between the generalized Tschebyscheff of the second kind polyno...

متن کامل

Bivariate Chebyshev-i Weighted Orthogonal Polynomials on Simplicial Domains

We construct a simple closed-form representation of degree-ordered system of bivariate Chebyshev-I orthogonal polynomials Tn,r(u, v, w) on simplicial domains. We show that these polynomials Tn,r(u, v, w), r = 0, 1, . . . , n; n ≥ 0 form an orthogonal system with respect to the Chebyshev-I weight function.

متن کامل

Construction of Tchebyshev-ii Weighted Orthogonal Polynomials on Triangular

We construct Tchebyshev-II (second kind) weighted orthogonal polynomials U (γ) n,r (u, v, w), γ > −1, on the triangular domain T. We show that U (γ) n,r (u, v, w), n = 0, 1, 2, . . . , r = 0, 1, . . . , n, form an orthogonal system over T with respect to the Tchebyshev-II weight function. AMS Subject Classification: 42C05, 33C45, 33C70

متن کامل

Numerical solution of Fredholm integral-differential equations on unbounded domain

In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultili...

متن کامل

Generalized 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 کامل

ذخیره در منابع من


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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015