Polynomial interpolation results in Sobolev spaces
C Bernardi, Y Maday - Journal of computational and applied mathematics, 1992 - Elsevier
in Sobolev spaces Page 1 Journal of Computational and Applied Mathematics 43 (1992) 53-80
53 North-Holland CAM 1242 Polynomial interpolation results in Sobolev spaces Christine …
53 North-Holland CAM 1242 Polynomial interpolation results in Sobolev spaces Christine …
Lagrange interpolation on Chebyshev points of two variables
Y Xu - journal of approximation theory, 1996 - Elsevier
We study interpolation polynomials based on the points in [− 1, 1]×[− 1, 1] that are common
zeros of quasi-orthogonal Chebyshev polynomials and nodes of near minimal degree …
zeros of quasi-orthogonal Chebyshev polynomials and nodes of near minimal degree …
On the Lebesgue constant for the Xu interpolation formula
L Bos, S De Marchi, M Vianello - Journal of Approximation Theory, 2006 - Elsevier
In the paper [Y. Xu, Lagrange interpolation on Chebyshev points of two variables, J. Approx.
Theory 87 (1996) 220–238], the author introduced a set of Chebyshev-like points for …
Theory 87 (1996) 220–238], the author introduced a set of Chebyshev-like points for …
On Some Multivariate Quadratic Spline Quasi—Interpolants on Bounded Domains
P Sablonnière - Modern Developments in Multivariate Approximation …, 2003 - Springer
On Some Multivariate Quadratic Spline Quasi-Interpolants on Bounded Domains Page 1
International Series of Numerical Mathematics Vol. 145, @2003 Birkhiiuser Verlag Basel/Switzerland …
International Series of Numerical Mathematics Vol. 145, @2003 Birkhiiuser Verlag Basel/Switzerland …
Error estimates for interpolatory quadrature formulae
H Brass, G Schmeisser - Numerische Mathematik, 1981 - Springer
In this paper we study the remainder of interpolatory quadrature formulae. For this purpose
we develop a simple but quite general comparison technique for linear functionals. Applied …
we develop a simple but quite general comparison technique for linear functionals. Applied …
Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: basic properties and error estimates
K Diethelm - Journal of Computational and Applied Mathematics, 1995 - Elsevier
Let∏ n− 1 [f] be the polynomial of degree n− 1 interpolating the function f at the points x1,
x2,…, xn with Pn (xi)= 0, ie, at the nodes of the classical Gaussian quadrature formula. For …
x2,…, xn with Pn (xi)= 0, ie, at the nodes of the classical Gaussian quadrature formula. For …
Bivariate Lagrange interpolation at the Padua points: the ideal theory approach
The Padua points are a family of points on the square [− 1, 1] 2 given by explicit formulas
that admits unique Lagrange interpolation by bivariate polynomials. Interpolation …
that admits unique Lagrange interpolation by bivariate polynomials. Interpolation …
Quadratic spline quasi-interpolants and collocation methods
F Foucher, P Sablonnière - Mathematics and Computers in Simulation, 2009 - Elsevier
Univariate and multivariate quadratic spline quasi-interpolants provide interesting
approximation formulas for derivatives of approximated functions that can be very accurate …
approximation formulas for derivatives of approximated functions that can be very accurate …
𝐿_ {𝑝}-error estimates for “shifted” surface spline interpolation on Sobolev space
J Yoon - Mathematics of computation, 2003 - ams.org
The accuracy of interpolation by a radial basis function $\phi $ is usually very satisfactory
provided that the approximant $ f $ is reasonably smooth. However, for functions which have …
provided that the approximant $ f $ is reasonably smooth. However, for functions which have …
[PDF][PDF] Some problems on optimal quadrature
P Blaga, G Coman - Stud. Univ. Babes-Bolyai Math, 2007 - Citeseer
Dedicated to Professor DD Stancu on his 80th birthday Abstract. Using the connection
between optimal approximation of linear operators and spline interpolation established by IJ …
between optimal approximation of linear operators and spline interpolation established by IJ …