Constructive Approximation Volume 17, 2001


CA, Volume 17 - Number 1, 2001

1--18
M.v. Golitschek and W.A. Light
Interpolation by Polynomials and Radial Basis Functions on Spheres

19--37
T.A. Hogan and R.-Q. Jia
Dependence Relations Among the Shifts of a Multivariate Refinable Distribution

39--46
T.N.T. Goodman, C.A. Micchelli and Z. Shen
Riesz Bases in Subspaces of L_2(R+)

47--57
C. Impens and H. Vernaeve
Asymptotics of Differentiated Bernstein Polynomials

59--90
X. Li and R. Wong
On the Asymptotics of the Meixner-Pollaczek Polynomials and Their Zeros

91--102
T. Bloom
On the Convergence in Capcity of Rational Approximants

103--138
L. Baratchart, H. Stahl and F. Weilonsky
Asymptotic Uniqueness of Best Rational Approximants of Given Degree to Markov Functions in L^2 of the Circle

139--146
S.J. Gardiner
Convergence of Rational Interpolants with Preassigned Poles

147--151
D. Braess
Note on the Approximation of Powers of the Distance in Two-Dimensional Domains

Research Problems
153--155
P. Petrushev Nonlinear Approximation from Dictionaries: Some Open Problems: Research Problems 2001-1


CA, Volume 17 - Number 2, 2001

157-168
T.A. Grandine
Minimal Function Spaces for Spline Interpolation

169-179
K. Driver and P. Duren
Trajectories of the Zeros of Hypergeometric Polynomials F(-n,b;2b;z) for b < -1/2

181-208
O. Davydov, G. Nurnberger, and F. Zeilfelder
Bivariate Spline Interpolation with Optimal Approximation
Order

209-225
V.V. Andrievskii, I.E. Pritsker, and R.S. Varga
On Zeros of Polynomials Orthogonal over a Convex Domain

227-247
J. Yoon
Approximation in L_p(R^d) from a Space Spanned by the Scattered Shifts of a Radial Basis Function

249-265
T. Le Gia and I.H. Solan
The Uniform Norm of Hyperinterpolation on the Unit Sphere in an Arbitrary Number of Dimensions

267-274
J. Liesen
Faber Polynomials Corresponding to Rational Exterior Mapping Functions

275-306
M.I. Ganzburg
Polynomial Inequalities on Measurable Sets and Their Applications

307-317
K.A. Kopotun
Whitney Theorem of Interpolatory Type for k-Monotone Functions


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