In this paper, we construct generalized Tschebyscheff-type weighted orthogonal polynomials Un,r(γ,M,N)(u,v,w), γ > ?1, in the Bernstein-Bézer form over the simplicial domain. We show that Un,r(γ,M,N)(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.
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机译：在本文中，我们在简单域上以Bernstein-Bézer形式构造了广义Tschebyscheff型加权正交多项式Un，r（γ，M，N）（u，v，w），γ>？1。我们证明Un，r（γ，M，N）（u，v，w），r = 0,1，...，n; n = 0,1,2，...，相对于广义权函数，在三角区域上形成正交系统。
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