Obstacles to bounded recovery.
On a generalization of the Dirichlet integral.
On a Problem of H. Berens.
On Best Error Bounds for Approximation by Piecewise Polynomial Functions.
On certain classes of normed linear spaces
On convergence of greedy approximations for the trigonometric system.
On counterexamples in multivariate approximation
On differentiability properties of Lipschitz functions on a Banach space with a Lipschitz uniformly Gâteaux differentiable bump function
We improve a theorem of P.G. Georgiev and N.P. Zlateva on Gâteaux differentiability of Lipschitz functions in a Banach space which admits a Lipschitz uniformly Gâteaux differentiable bump function. In particular, our result implies the following theorem: If is a distance function determined by a closed subset of a Banach space with a uniformly Gâteaux differentiable norm, then the set of points of at which is not Gâteaux differentiable is not only a first category set, but it is even -porous...
On differentiation of metric projections in finite dimensional Banach spaces
On embeddings and traces in Sobolev spaces with weights of power type
On -best approximation in topological spaces
On farthest and nearly farthest points
On good approximation in metric spaces
On Korovkin type theorem in the space of locally integrable functions
It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space does not hold in all this space and is satisfied only on some subspace.
On k-regular embeddings of spaces in Euclidean space
On maximal inequalities arising in best approximation.
On minimal points
On Multivariate Polynomials of Least Deviation from Zero on the Unit Ball.
On Nonlinear Condensation Principles with Rates.
On Projection Constants of Polynomial Spaces on the Unit Ball in Several Variables.