Multivariate generalized Bernstein polynomials: identities for orthogonal polynomials of two variables
暂无分享,去创建一个
[1] Pawel Wozny,et al. Dual generalized Bernstein basis , 2006, J. Approx. Theory.
[2] Josef Hoschek,et al. Fundamentals of computer aided geometric design , 1996 .
[3] G. Phillips. Interpolation and Approximation by Polynomials , 2003 .
[4] D. Stanton. Product Formulas for q-Hahn Polynomials , 1980 .
[5] Paweł Woźny,et al. Connections between two-variable Bernstein and Jacobi polynomials on the triangle , 2006 .
[6] Mizan Rahman,et al. Some systems of multivariable orthogonal q-Racah polynomials , 2004, math/0410250.
[7] T. Koornwinder. Two-Variable Analogues of the Classical Orthogonal Polynomials , 1975 .
[8] Paul Sablonnière,et al. Recent Progress on Univariate and Multivariate Polynomial and Spline Quasi-interpolants , 2005 .
[9] Yuan Xu,et al. Orthogonal Polynomials of Several Variables , 2014, 1701.02709.
[10] Mizan Rahman,et al. Basic Hypergeometric Series: Elliptic, modular, and theta hypergeometric series , 2004 .
[11] George M. Phillips,et al. A generalization of the Bernstein polynomials based on the q-integers , 2000, The ANZIAM Journal.
[12] M. Tratnik. Some multivariable orthogonal polynomials of the Askey tableau—Continuous families , 1991 .
[13] Gerald Farin,et al. Curves and surfaces for computer aided geometric design , 1990 .
[14] Mizan Rahman,et al. Basic Hypergeometric Series , 1990 .
[15] Iván Area,et al. Bernstein bases and hahn—eberlein orthogonal polynomials , 1998 .
[16] Sofiya Ostrovska,et al. Convergence of Generalized Bernstein Polynomials , 2002, J. Approx. Theory.
[17] Yuan Xu,et al. Orthogonal Polynomials of Several Variables: Subject index , 2001 .
[18] Charles F. Dunkl. Orthogonal Polynomials in Two Variables of q-Hahn and q-Jacobi Type , 1980, SIAM J. Matrix Anal. Appl..
[19] Heping Wang. Properties of convergence for ω,q-Bernstein polynomials☆ , 2008 .
[20] Paweł Woźny,et al. Generalized Bernstein Polynomials , 2004 .
[21] Thomas Sauer,et al. The Genuine Bernstein-Durrmeyer Operator on a Simplex , 1994 .
[22] Paul Sablonnière,et al. Discrete Bernstein bases and Hahn polynomials , 1993 .
[23] Marie-Madeleine Derriennic. MODIFIED BERNSTEIN POLYNOMIALS AND JACOBI POLYNOMIALS IN Q-CALCULUS , 2005 .
[24] Gian-Carlo Rota,et al. Theory and application of special functions , 1977 .
[25] I. Area,et al. Formulae relating little q-Jacobi, q-Hahn and q-Bernstein polynomials: application to q-Bézier curve evaluation , 2004 .
[26] József Szabados,et al. Trends and Applications in Constructive Approximation , 2006 .
[27] Rene F. Swarttouw,et al. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Report Fac , 1996, math/9602214.
[28] Yuan Xu,et al. Orthogonal Polynomials of Several Variables: Preface , 2001 .
[29] Sofiya Ostrovska,et al. q-Bernstein polynomials and their iterates , 2003, J. Approx. Theory.
[30] Marie-Madeleine Derriennic. On multivariate approximation by Bernstein-type polynomials , 1985 .
[31] George E. Andrews,et al. Special Functions: Partitions , 1999 .
[32] Z. Ciesielski. Explicit formula relating the Jacobi, Hahn and Bernstein polynomials , 1987 .