zbMath0668.41024MaRDI QIDQ3992942
Vladimir N. Temlyakov
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Constructive sparse trigonometric approximation for functions with small mixed smoothness,
Estimates for the Kolmogorov widths of the Nikol'skii-Besov-Amanov classes in the Lorentz space,
Sparse \(p\)-version BEM for first kind boundary integral equations with random loading,
Image approximation by rectangular wavelet transform,
Optimal recovery of functions from numerical information on them and limiting error of the optimal computing unit,
Estimate for the order of orthoprojection width of the Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces,
Estimate of approximate characteristics for classes of functions with bounded mixed derivative,
General algorithm for the numerical integration of functions of several variables,
On optimal discretization of solutions of the heat equation and the limit error of the optimum computing unit,
Cubature, Approximation, and Isotropy in the Hypercube,
Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi‐continuous functions,
On reconstruction of multiplicative transformations of functions in anisotropic spaces,
Sparse polynomial approximation in positive order Sobolev spaces with bounded mixed derivatives and applications to elliptic problems with random loading,
My dream quadrature rule,
Nonlinear approximation of function spaces of mixed smoothness,
On estimates of the order of the best M-term approximations of functions of several variables in the anisotropic Lorentz-Zygmund space,
On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces,
On the fundamental conjecture of HDMR: a Fourier analysis approach,
Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothness,
Sparse finite element approximation of high-dimensional transport-dominated diffusion problems,
Approximation rates for the hierarchical tensor format in periodic Sobolev spaces,
Metric entropy of integration operators and small ball probabilites for the Brownian sheet,
On the small ball inequality in all dimensions,
On the small ball inequality in three dimensions,
Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups,
On the entropy numbers between the anisotropic spaces and the spaces of functions with mixed smoothness,
Interpolation lattices for hyperbolic cross trigonometric polynomials,
Representation and approximation of multivariate functions with mixed smoothness by hyperbolic wavelets,
Interpolation and integral norms of hyperbolic polynomials,
Exact orders of computational (numerical) diameters in problems of reconstructing functions and sampling solutions of the Klein-Gordon equation from Fourier coefficients,
Widths between the anisotropic spaces and the spaces of functions with mixed smoothness,
Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness,
On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique,
What is the complexity of surface integration?,
Nonlinear approximations using sets of finite cardinality or finite pseudo-dimension,
Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness,
Integral norm discretization and related problems,
Optimal recovery on the classes of functions with bounded mixed derivative,
Approximation by quasi-interpolation operators and Smolyak's algorithm,
Greedy algorithm for functions with low mixed smoothness,
Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form,
Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling