AbstractShekhtman (J. Approx. Theory, 30(1980), 237–246) gives a sufficient condition for the convergence of abstract splines. We show that his condition is not necessary and give a related condition which is both necessary and sufficient. In the process, we also give a necessary and sufficient condition for a sequence of abstract spline projectors to be bounded
: The paper is related to the article [1]. It is proved that a sequence of L 1;0 - spline approximat...
AbstractSufficient conditions for the existence of a bounded interpolating projection onto subspaces...
AbstractIn some recent papers, Bouhamidi and Le Méhauté introduced Lm,l,s-splines as a natural exten...
AbstractShekhtman (J. Approx. Theory, 30(1980), 237–246) gives a sufficient condition for the conver...
We prove that the L_#infinity#-norm of the L_2-projector P onto the spline space S_k(#DELTA#) is bou...
In this work well-posedness and stability properties of the abstract spline problem are studied in t...
In this work well-posedness and stability properties of the abstract spline problem are studied in t...
By means of an example, the authors show that the sequence of estimates generated by the projection ...
AbstractA general convergence analysis of the cascade algorithm, for the determination of a refinabl...
AbstractIn this work well-posedness and stability properties of the abstract spline problem are stud...
A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with ge...
Abstract. Given N ≥ 2 closed subspaces M1, . . . , MN of a Hilbert space X, let Pk denote the orthog...
AbstractPruess [12, 14] has shown that exponential splines can produce co-convex and co-monotone int...
AbstractWe provide a general theorem for the convergence of some projection methods with perturbatio...
AbstractConvergence results are proved for product integration rules based on approximating splines....
: The paper is related to the article [1]. It is proved that a sequence of L 1;0 - spline approximat...
AbstractSufficient conditions for the existence of a bounded interpolating projection onto subspaces...
AbstractIn some recent papers, Bouhamidi and Le Méhauté introduced Lm,l,s-splines as a natural exten...
AbstractShekhtman (J. Approx. Theory, 30(1980), 237–246) gives a sufficient condition for the conver...
We prove that the L_#infinity#-norm of the L_2-projector P onto the spline space S_k(#DELTA#) is bou...
In this work well-posedness and stability properties of the abstract spline problem are studied in t...
In this work well-posedness and stability properties of the abstract spline problem are studied in t...
By means of an example, the authors show that the sequence of estimates generated by the projection ...
AbstractA general convergence analysis of the cascade algorithm, for the determination of a refinabl...
AbstractIn this work well-posedness and stability properties of the abstract spline problem are stud...
A rigorous convergence analysis is presented for arbitrary order cardinal spline subdivision with ge...
Abstract. Given N ≥ 2 closed subspaces M1, . . . , MN of a Hilbert space X, let Pk denote the orthog...
AbstractPruess [12, 14] has shown that exponential splines can produce co-convex and co-monotone int...
AbstractWe provide a general theorem for the convergence of some projection methods with perturbatio...
AbstractConvergence results are proved for product integration rules based on approximating splines....
: The paper is related to the article [1]. It is proved that a sequence of L 1;0 - spline approximat...
AbstractSufficient conditions for the existence of a bounded interpolating projection onto subspaces...
AbstractIn some recent papers, Bouhamidi and Le Méhauté introduced Lm,l,s-splines as a natural exten...
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