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Refereed Papers
M.N. Benbourhim:
Spline
approximant in Hilbert subspaces of C(O) .Numer. Math. 49 (1986), no. 2-3, 291--303.
M. Atteia,
M.N. Benbourhim: Spline Elastic Manifolds
Mathematical methods in Computer Aided Geometric Design (Oslo, 1988),
45--50, Academic Press, Boston, MA, 1989.
L. Amodei,
M.N. Benbourhim: A vector spline
approximation with application to meteorology Curves and Surfaces
(Chamonix-Mont-Blanc, 1990), 5--10, Academic Press, Boston, MA, 1991.
L. Amodei,
M.N. Benbourhim: A
vector spline approximation, J. Approx. Theory 67 (1991), no. 1,
51--79.
M.N. Benbourhim, J. Gaches: Tf-Spline et approximation par
Tf-prolongement. Studia Math. 106 (1993),
no. 3, 203--211.
Atteia M., Benbourhim M. N.,
González Casanova P. Quasi-interpolant
Elastic Manifolds. Reporte de Investigación IIMAS-UNAM, Vol. 3, No. 25,
(1993).
L. Amodei,
M.N. Benbourhim: A vector spline
quasi-interpolation. Wavelets, images, and surface fitting
(Chamonix-Mont-Blanc, 1993), 1--10, A.K. PETERS, Wellesley, MA. 1994.
M.N. Benbourhim,
P. Gonzalez.Casanova: Generalized variational quasi-interpolants in H^m(O,R^n). Bol. Soc. Mat. Mexicana (3) 3 (1997),
no. 2, 347--354.
M.N. Benbourhim,
P. Gonzalez.Casanova: Local
interpolation of non-smooth functions Proceedings
of the Thirth International Conference on
Approximation and Optimization, Puebla, México 1995, European
Mathematical Society, Electronic Library of Mathematics, en Julio de (1997).
M.N. Benbourhim,
Constructive approximation by (V,f)-reproducing
kernels. Curve and Surface Fitting ;
Saint-Malo 1999 A. Cohen, C. Rabut and L.L.Schumaker, eds,
Vanderbilt University Press, Nashville, 2000, 57--64.
M.N. Benbourhim,
A. Bouhamidi: Approximation
of Vector Fields by Thin Plate Spline with a parameter tension. J.
Approx. Theory 136 (2005), no. 2, 198--229.
M.N. Benbourhim,
A. Bouhamidi: Div-curl weighted minimizing splines. Anal.
Appl. (Singap.) 5 (2007), no. 2, 95--122.
M.N. Benbourhim,
A. Bouhamidi: Div-free
minimizing splines under tension. Curve and Surface Fitting: Avignon
2006, 31--40, Mod. Methods Math., Nashboro
Press, Brentwood, TN, 2007.
M.N. Benbourhim,
A. Djellit, L. Ghannam,
H. Saker: The integral equations method with interface
decomposition for the bi-harmonic. Adv. Stud. Contemp. Math. (Kyungshang) 15 (2007), no. 1, 69--86.
M.N. Benbourhim, A. Bouhamidi: Estimation de l'erreur pour l'interpolation
vectorielle par les div-rot splines sous
tension. C. R. Math. Acad. Sci. Paris 345
(2007), no. 9, 527--530.
M.N. Benbourhim:
Data
fitting by vector (V,f)-reproducing
kernels. RFMAO 05---Rencontres Franco-Marocaines en
Approximation et Optimisation 2005, 63--71; ESAIM Proc., 20, EDP Sci., Les Ulis, 2007.
M.N. Benbourhim,
A. Bouhamidi: Pseudo-polyharmonic vectorial
approximation for div-curl and elastic semi-norms. Numer. Math. 109 (2008), no. 3, 333--364.
M.N. Benbourhim,
A. Bouhamidi: Error
estimates for interpolating div-curl splines under tension on a bounded
domain. J. Approx. Theory 152 (2008), no. 1, 66--81.
M.N. Benbourhim,
A. Bouhamidi: Meshless pseudo-polyharmonic vectorial Div-free and Curl-free vector fields approximation.
SIAM. J. MATH. ANAL., Vol. 42 (2010), no 3, 1218--1245.
M.N. Benbourhim,
A. Bouhamidi: Meshless
polyharmonic div-curl reconstruction.
Math. Model. Nat. Phenom. 5 (2010), no. 7.
M.N. Benbourhim,
A. Bouhamidi and P. Gonzalez.Casanova:
Convergence and error estimates for pseudo-polyharmonic
div-curl and elastic interpolation on a bounded domain to appear in J. Approx. Theory (2016)
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