论文信息 - Some qualitative properties of bivariate Euler-Frobenius polynomials - 字舞流文

Some qualitative properties of bivariate Euler-Frobenius polynomials

Abstract Let Mn denote the bivariate box-spline corresponding to the directions (1, 0), (0, 1), (1, 1), each occuring with multiplicity n. We determine the critical points of the polynomials Pn(x) = ∑j ϵ Z2 Mn(j) eijx, nϵF.

Klaus Höllig | Carl de Boor | Sherman Riemenschneider | C. D. Boor | K. Höllig | S. Riemenschneider

[1] I. J. Schoenberg. Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae , 1946 .

[2] I. J. Schoenberg,et al. Notes on spline functions IV: A cardinal spline analogue of the theorem of the brothers Markov , 1973 .

[3] Klaus Höllig,et al. Convergence of bivariate cardinal interpolation , 1985 .

[4] Klaus Höllig,et al. Bivariate cardinal interpolation by splines on a three-direction mesh , 1985 .

[5] Klaus Höllig,et al. Bivariate box splines and smooth pp functions on a three direction mesh , 1983 .

[6] Klaus Höllig,et al. B-splines from parallelepipeds , 1982 .

[7] I. J. Schoenberg. Contributions to the problem of approximation of equidistant data by analytic functions. Part B. On the problem of osculatory interpolation. A second class of analytic approximation formulae , 1946 .

[8] I. J. Schoenberg. Notes on spline functions III: On the convergence of the interpolating cardinal splines as their degree tends to infinity , 1973 .

[9] I. J. Schoenberg. Cardinal Spline Interpolation , 1987 .