Generalized Pólya condition for Birkhoff interpolation with lacunary polynomials.
Generalized splines in and optimal control.
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials: a survey.
Generalizing the arithmetic geometric mean - a hapless computer experiment.
Geometric Convergence of Rational Approximations to e-z in Infinite Sectors.
Geometric data fitting.
Geometric properties of Banach spaces and the existence of nearest and farthest points.
Geometrie Convergence to e-z by Rational Functions with Real Poles.
Geometry of regular plane sets and Chebyshev system theory.
Global approximation by modified Baskakov type operators.
In the present paper, we prove a global direct theorem for the modified Baskakov type operators in terms of so called Ditzian-Totik modulus of smoothness.
Global existence of smooth solutions for the Vlasov-Fokker-Planck equation in and space dimensions
Global smoothness preservation and the variation-diminishing property.
Global smoothness preservation by some nonlinear max-product operators
Good approximation in metrizable locally convex spaces involving a set of nonlinear functionals
Greediness of the Haar system in rearrangement invariant spaces
Greedy Algorithms and Best m-Term Approximation with Respect to Biorthogonal Systems.
Greedy approximation and the multivariate Haar system
We study nonlinear m-term approximation in a Banach space with regard to a basis. It is known that in the case of a greedy basis (like the Haar basis in , 1 < p < ∞) a greedy type algorithm realizes nearly best m-term approximation for any individual function. In this paper we generalize this result in two directions. First, instead of a greedy algorithm we consider a weak greedy algorithm. Second, we study in detail unconditional nongreedy bases (like the multivariate Haar basis in ,...
Greedy Approximation with Regard to Bases and General Minimal Systems
*This research was supported by the National Science Foundation Grant DMS 0200187 and by ONR Grant N00014-96-1-1003This paper is a survey which also contains some new results on the nonlinear approximation with regard to a basis or, more generally, with regard to a minimal system. Approximation takes place in a Banach or in a quasi-Banach space. The last decade was very successful in studying nonlinear approximation. This was motivated by numerous applications. Nonlinear approximation is important...
Growth of coefficients of universal Dirichlet series
We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of universal Dirichlet series.
Growth of polynomials with prescribed zeros