AbstractIn this paper we complete the investigations started by K. Höllig and K. Scherer “Approximation Theory, III” (E. W, Cheney, Ed.), Academic Press. New York, 1980. We study C. de Boor's conjecture of the L∞-boundedness of the L2-projection P on smooth splines in the special case of a geometric mesh x = {qv}. A connection to the interpolation projection is established and the uniform boundedness of ¦|P¦|π with respect to q is proved
AbstractSeveral properties of a class of interpolatory splines are studied. This class is a generali...
International audienceBases and dimensions of trivariate spline functions possessing first order geo...
Polynomial approximation is a long studied process, with a history dating back to the 1700s, At whic...
AbstractIn this paper we complete the investigations started by K. Höllig and K. Scherer “Approximat...
AbstractIn [Feng and Kozak, J. Approx. Theory 32 (1981), 327–338], another proof of the boundedness ...
AbstractFor an integer k ⩾ 1 and a geometric mesh (qi)−∞∞ with q ϵ (0, ∞), let Mi,k(x): = k[qi + k](...
We prove that the L_#infinity#-norm of the L_2-projector P onto the spline space S_k(#DELTA#) is bou...
AbstractSufficient conditions for the existence of a bounded interpolating projection onto subspaces...
AbstractPiecewise L-splines are generalizations of L-splines, in the sense that they satisfy differe...
AbstractpLg-splines are obtained as the solution of best interpolation problems where the smoothness...
AbstractThis paper builds upon the Lp-stability results for discrete orthogonal projections on the s...
Let D_Γ = R^n + iΓ be the tube domain over a proper and nonempty open convex cone Γ ⊂ R^n, and P the...
AbstractConvergence properties of quadratic spline interpolation of continuous functions that does n...
Diening L, Storn J, Tscherpel T. On the Sobolev and $L^p$-Stability of the $L^2$-Projection. SIAM Jo...
Abstract. The famous de Boor conjecture states that the condition of the polynomial B-spline colloca...
AbstractSeveral properties of a class of interpolatory splines are studied. This class is a generali...
International audienceBases and dimensions of trivariate spline functions possessing first order geo...
Polynomial approximation is a long studied process, with a history dating back to the 1700s, At whic...
AbstractIn this paper we complete the investigations started by K. Höllig and K. Scherer “Approximat...
AbstractIn [Feng and Kozak, J. Approx. Theory 32 (1981), 327–338], another proof of the boundedness ...
AbstractFor an integer k ⩾ 1 and a geometric mesh (qi)−∞∞ with q ϵ (0, ∞), let Mi,k(x): = k[qi + k](...
We prove that the L_#infinity#-norm of the L_2-projector P onto the spline space S_k(#DELTA#) is bou...
AbstractSufficient conditions for the existence of a bounded interpolating projection onto subspaces...
AbstractPiecewise L-splines are generalizations of L-splines, in the sense that they satisfy differe...
AbstractpLg-splines are obtained as the solution of best interpolation problems where the smoothness...
AbstractThis paper builds upon the Lp-stability results for discrete orthogonal projections on the s...
Let D_Γ = R^n + iΓ be the tube domain over a proper and nonempty open convex cone Γ ⊂ R^n, and P the...
AbstractConvergence properties of quadratic spline interpolation of continuous functions that does n...
Diening L, Storn J, Tscherpel T. On the Sobolev and $L^p$-Stability of the $L^2$-Projection. SIAM Jo...
Abstract. The famous de Boor conjecture states that the condition of the polynomial B-spline colloca...
AbstractSeveral properties of a class of interpolatory splines are studied. This class is a generali...
International audienceBases and dimensions of trivariate spline functions possessing first order geo...
Polynomial approximation is a long studied process, with a history dating back to the 1700s, At whic...
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