Sobolev orthogonal polynomials defined via gradient on the unit ball
نویسنده
چکیده
An explicit family of polynomials on the unit ball B of R is constructed, so that it is an orthonormal family with respect to the inner product 〈f, g〉 = ρ Z Bd ∇f(x) · ∇g(x)dx + L(fg), where ρ > 0, ∇ is the gradient, and L(fg) is either the inner product on the sphere S or f(0)g(0).
منابع مشابه
A family of Sobolev orthogonal polynomials on the unit ball
A family of orthonormal polynomials on the unit ball B of R with respect to the inner product
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 152 شماره
صفحات -
تاریخ انتشار 2008