On the iteration of . (Sur l'itéré de .)
On the iterative combinations of Baskakov operator.
On the Jacobi series.
On the Kaczmarz algorithm of approximation in infinite-dimensional spaces
The Kaczmarz algorithm of successive projections suggests the following concept. A sequence of unit vectors in a Hilbert space is said to be effective if for each vector x in the space the sequence (xₙ) converges to x where (xₙ) is defined inductively: x₀ = 0 and , where . We prove the effectivity of some sequences in Hilbert spaces. We generalize the concept of effectivity to sequences of vectors in Banach spaces and we prove some results for this more general concept.
On the lattice of polynomials with integer coefficients: the covering radius in
The paper deals with the approximation by polynomials with integer coefficients in , 1 ≤ p ≤ ∞. Let be the space of polynomials of degree ≤ n which are divisible by the polynomial , r ≥ 0, and let be the set of polynomials with integer coefficients. Let be the maximal distance of elements of from in . We give rather precise quantitative estimates of for n ≳ 6r. Then we obtain similar, somewhat less precise, estimates of for p ≠ 2. It follows that as n → ∞. The results partially...
On the Laurent Coefficients of Certain Dirichlet Series
On the least squares fit by radial functions to multidimensional scattered data.
On the limit properties of the Picard singular integral.
On the local linear independence of translates of a box spline
On the lower semi-continuity of the set valued metric projection.
On the maximum modulus of a polynomial and its derivatives.
On the maximum modulus of polynomials. II.
On the method of least squares of finding eigenvalues and eigenfunctions of some symmetric operators. II.
On the midpoint quadrature formula for lipschitzian mappings and applications
On the midpoint quadrature formula for mappings with bounded variations and applications
On the Minimum Norm Projection on Closed Subspaces of L^p[0, 2*pi] and an Application
On the monotonicity of sequences of quadrature formulae.
On the multivariate transfinite diameter
We prove several new results on the multivariate transfinite diameter and its connection with pluripotential theory: a formula for the transfinite diameter of a general product set, a comparison theorem and a new expression involving Robin's functions. We also study the transfinite diameter of the pre-image under certain proper polynomial mappings.
On the nonexistence of some interpolatory polynomials.
On the Number of Best Approximation in Certain Non-linear Families of Functions.