A general Hilbert space approach to framelets.
A Lusin Type Approximation of Bessel Potentials and Besov Functions by Smooth Functions.
A method of approximation of spaces of generalized functions
A note on integral modification of the Meyer-König and Zeller operators.
A note on the best approximation by ridge functions.
A note on the Bézier variant of certain Bernstein Durrmeyer operators.
A remark on a class of universal hill functions
A remark on the approximation theorems of Whitney and Carleman-Scheinberg
We show that a -smooth mapping on an open subset of , , can be approximated in a fine topology and together with its derivatives by a restriction of a holomorphic mapping with explicitly described domain. As a corollary we obtain a generalisation of the Carleman-Scheinberg theorem on approximation by entire functions.
A survey on the Weierstrass approximation theorem.
A trace theorem for caloric functions.
Adaptive convex optimization in Banach spaces: a multilevel approach
This is mainly a review paper, concerned with some applications of the concept of Nonlinear Approximation to adaptive convex minimization. At first, we recall the basic ideas and we compare linear to nonlinear approximation for three relevant families of bases used in practice: Fourier bases, finite element bases, wavelet bases. Next, we show how nonlinear approximation can be used to design rigorously justified and optimally efficient adaptive methods to solve abstract minimization problems in...
Aliasing and Poisson Summation in the Sampling Theory of Paley-Wiener Spaces.
An Algorithm for Discrete Linear Lp Approximation.
An Approximation Theorem for Integrable Harmonic Vector Fields.
An approximation theorem for sequences of linear strains and its applications
We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in by the sequence of linear strains of mapping bounded in Sobolev space . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.
An approximation theorem for sequences of linear strains and its applications
We establish an approximation theorem for a sequence of linear elastic strains approaching a compact set in L1 by the sequence of linear strains of mapping bounded in Sobolev space W1,p . We apply this result to establish equalities for semiconvex envelopes for functions defined on linear strains via a construction of quasiconvex functions with linear growth.
An estimate for the least uniform deviation from the class of functions with bounded second derivative.
An Estimate Of The Rate Of Convergence For Modified Szász-Mirakyan Operators Of Function Of Bounded Variation
An Improved Constant for the Muntz-Jackson Theorem
Applications of a general comparison theorem for convolution integrals