Porosity and compacta with dense ambiguous loci of metric projections
Prediction sequences in smooth Banach spaces
Problème de Bernstein pour les fonctions différentiables
Produits tensoriels d'espaces de Banach et classes d'applications linéaires
Projection solutions of Frobenius-Perron operator equations.
Projections contractantes dans les espaces de Banach
Projections on spaces of continuous functions.
Projections, skewness and related constants in real normed spaces.
Properties of typical bounded closed convex sets in Hilbert space.
Proximinality and co-proximinality in metric linear spaces
As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces
Proximinality in generalized direct sums.
Quasianalytic functions in the sense of Bernstein [Book]
Quasi-greedy bases and Lebesgue-type inequalities
We study Lebesgue-type inequalities for greedy approximation with respect to quasi-greedy bases. We mostly concentrate on the spaces. The novelty of the paper is in obtaining better Lebesgue-type inequalities under extra assumptions on a quasi-greedy basis than known Lebesgue-type inequalities for quasi-greedy bases. We consider uniformly bounded quasi-greedy bases of , 1 < p < ∞, and prove that for such bases an extra multiplier in the Lebesgue-type inequality can be taken as C(p)ln(m+1)....
Rate of convergence of the discrete Pólya algorithm from convex sets. A particular case.
Relative Korovkin-Sätze und Ränder.
Remark on spline unconditional bases in
Remarks on remotal sets in vector valued function spaces.
Representation formulae for (C₀) m-parameter operator semigroups
Some general representation formulae for (C₀) m-parameter operator semigroups with rates of convergence are obtained by the probabilistic approach and multiplier enlargement method. These cover all known representation formulae for (C₀) one- and m-parameter operator semigroups as special cases. When we consider special semigroups we recover well-known convergence theorems for multivariate approximation operators.
Representation formulas for cosine and sine functions of operators II.
Sampling of Band-Limited Vectors.