Polynomial Interpolation on the Unit Sphere and on the Unit Ball

نویسنده

  • Yuan Xu
چکیده

برای دانلود رایگان 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

On Polynomial Interpolation on the Unit Ball

Polynomial interpolation on the unit ball of R d has a unique solution if the points are located on several spheres inside the ball and the points on each sphere solves the corresponding interpolation problem on the sphere. Furthermore, the solution can be computed in a recursive way.

متن کامل

Analysis on the Unit Ball and on the Simplex

Many results on the unit ball and those on the simplex can be deduced from each other or from the corresponding results on the unit sphere. The areas in which such a connection appears include orthogonal polynomials, approximation, cubature formulas and polynomial interpolation. We explain this phenomenon in some detail.

متن کامل

Predicting the Efficiency of Decision-Making Unit by Using Piecewise Polynomial Extrapolation in Different Times

In this article, we will estimate efficiency amountof decision-making unit by offering the continuous piecewise polynomialextrapolation and interpolation by CCR model input-oriented on the assumptionthat it is constant returns to scale in different times. And finally, we willestimate efficiency amount of decision-making unit indifferent times byoffering an example.

متن کامل

HIERARCHICAL COMPUTATION OF HERMITE SPHERICAL INTERPOLANT

In this paper, we propose to extend the hierarchical bivariateHermite Interpolant to the spherical case. Let $T$ be an arbitraryspherical triangle of the unit sphere $S$ and  let $u$ be a functiondefined over the triangle $T$. For $kin mathbb{N}$, we consider aHermite spherical Interpolant problem $H_k$ defined by some datascheme $mathcal{D}_k(u)$ and which admits a unique solution $p_k$in the ...

متن کامل

Polynomial interpolation on the unit sphere II

The problem of interpolation at (n+1) points on the unit sphere S by spherical polynomials of degree at most n is proved to have a unique solution for several sets of points. The points are located on a number of circles on the sphere with even number of points on each circle. The proof is based on a method of factorization of polynomials.

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

عنوان ژورنال:
  • Adv. Comput. Math.

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2004