Keywords: primary; 65Y20; secondary; 41A15; 41A25; 41A63; 65D99; High dimensional approximation; Rank one tensors; Worst case error; Tractability; Curse of dimensionality; Dispersion;
مقالات ISI (ترجمه نشده)
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Keywords: 15B05; 65K10; 41A29; 41A63; Fixed-point algorithms; Frequency estimation; General domain Hankel matrices; Fenchel conjugate; Convex envelope;
Keywords: Smooth data approximation; Smooth data interpolation; Cubic spline; Tension spline; Fourier series; Fourier transform; 65D05; 65D07; 41A05; 41A10; 41A63; 42A38;
Keywords: Multilayer feedforward neural network; Hidden layer; Sigmoidal function; Activation function; Weight; The Kolmogorov superposition theorem; 41A30; 41A63; 65D15; 68T05; 92B20;
Keywords: primary; 41A10; secondary; 41A63; Polynomial approximation; Convex domain; Conic point; Modulus of continuity; Polynomial operator;
Keywords: 15A69; 35R05; 41A25; 41A63; 42C40; 65N12; 65T60; Interface problem; Adaptive wavelet scheme; Tensor product approximation; Domain decomposition; Extension operators; Best approximation rates;
Keywords: 41A17; 41A63; 42B30; K-functional; Hp space; Multivariate average; Hp Multiplier; Wave operator;
Keywords: 41A30; 41A63; 42C40; 15A03; 42B10Linear independence; Integer shifts of functions; Polynomial rings; Hilbert Nullstellensatz; Compactly supported distributions
Keywords: 15A18; 15A69; 41A25; 41A46; 41A63; 65J10; Low-rank tensor approximation; High-dimensional equations; Singular value decay; Richardson iteration;
Keywords: 41A25; 41A63; 65D15; 65Y20Multivariate approximation; Tractability; Hilbert spaces with exponential weights
Keywords: 41A10; 41A25; 41A50; 41A63; 62G08; 65M70Approximation theory; Discrete least squares; Noisy evaluations; Error analysis; Convergence rates; Large deviations; Learning theory; Multivariate polynomial approximation
Degree of approximation for bivariate extension of Chlodowsky-type q-Bernstein-Stancu-Kantorovich operators
Keywords: q-Bernstein-Stancu-Kantorovich operators; Partial moduli of continuity; Weighted approximation; B-continuous; B-differentiable; GBS operators; 41A10; 41A25; 41A36; 41A63; 26A15; 26A16;
Radially symmetric thin plate splines interpolating a circular contour map
Keywords: 41A05; 41A15; 41A63; 65D07Thin plate spline; Radially symmetric function; LL-spline; Beppo Levi polyspline; Approximation order
Multivariate αα-molecules
Keywords: 41A30; 41A63; 42C40Wavelets; Shearlets; Anisotropic scaling; αα-molecules; Multiscale analysis; Nonlinear approximation
GBS operators of Bernstein-Schurer-Kantorovich type based on q-integers
Keywords: q-Bernstein-Schurer-Kantorovich operators; Partial moduli of continuity; B-continuous; B-differentiable; GBS operators; Modulus of smoothness; 41A10; 41A25; 41A36; 41A63;
On weak tractability of the Smolyak algorithm for approximation problems
Keywords: 41A63; 65Y20; 68Q25Weak tractability; Smolyak algorithm; Infinitely differentiable function class; Standard information
Extremal functions in de Branges and Euclidean spaces
Keywords: 41A30; 46E22; 41A05; 41A63; Extremal functions; De Branges spaces; Exponential type; Laplace transform; Homogeneous spaces; Majorants;
On the existence of best Mitscherlich, Verhulst, and West growth curves for generalized least-squares regression
Keywords: 41A27; 41A28; 41A30; 41A63; 65D10; 65K10; 80A30; 92C45; 92D25Growth curves; Parameter identification; Singular covariance; Weighted non-linear least squares
Fitting cylinders to data
Keywords: 41A10; 41A28; 41A50; 41A52; 41A63; 65D10; 65D17Cylinders; Least-squares methods; Median; Midrange; Regression
A note on the variance of the square components of a normal multivariate within a Euclidean ball
Keywords: 60E15; 41A63; 41A60Distributional truncation; Covariance matrix reconstruction; Fixed point iteration
On the generation of symmetric Lebesgue-like points in the triangle
Keywords: 65D05; 41A63; 65L60Bivariate polynomial interpolation; Triangle; Lebesgue constant; Lebesgue-type points; Symmetry; Triangular spectral elements
On a Chlodovsky variant of a multivariate beta operator
Keywords: 41A63; 41A35Multivariate beta operator; Modulus of smoothness; Chlodovsky operator
Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle
Keywords: 41A10; 41A63; 65D10Weakly admissible meshes; Polynomial least-squares; Disk; Simplex; Triangle; Polygons
Configurations of nodes with defects greater than three
Keywords: 41A05; 41A63; 65D05Bivariate polynomial interpolation; Geometric characterization
Lattices on simplicial partitions which are not simply connected
Keywords: 41A05; 41A63; 65D05Lattice; Hole; Simplicial partition; Interpolation
A tension approach to controlling the shape of cubic spline surfaces on FVS triangulations
Keywords: 41A15; 41A63; 65D07; 65D15; 65D17Tension; Bivariate splines; Two-stage scattered data fitting
Lattices on simplicial partitions
Keywords: 41A05; 41A63; 65D05; Lattice; Barycentric coordinates; Simplicial partition;
Cubic pencils of lines and bivariate interpolation
Keywords: 41A05; 65D05; 41A63; Bivariate polynomial interpolation; Cubic pencils of lines; Generalized principal lattices;
Smoothing of Radon projections type of data by bivariate polynomials
Keywords: 44A12; 41A10; 41A63; 65D15Radon transform; Reconstruction of bivariate functions; Multivariate polynomials; Interpolation; Least squares approximation; Image processing
Limit problems for interpolation by analytic radial basis functions
Keywords: 41A15; 41A25; 41A30; 41A63; 65D10Radial basis functions; Moment conditions; Preconditioning; Hermite interpolation; Polynomial interpolation
Ul’yanov-type inequality for bounded convex sets in RdRd
Keywords: 41A17; 41A63; 41A25Moduli of smoothness; Ul’yanov-type inequality; Realization results; Whitney-type inequality
Polynomial approximation of CMCM functions by means of boundary values and applications: A survey
Keywords: 34B15; 41A10; 41A63; 65D05; 65D15; 65D25; 65D30; 65H05Polynomial approximation; Boundary value; Nonlinear equation; Differential boundary value problem; Numerical differentiation; Numerical integration; Multivariate approximation
Maximal convergence theorems for functions of squared modulus holomorphic type in R2R2 and some applications
Keywords: 41A17; 41A10; 41A60; 41A63; 41A25; 30E10; 30C35Polynomial approximation in 2-space; Maximal convergence; Bernstein–Walsh's type theorems; Real-analytic functions
Multivariate Frobenius–Padé approximants: Properties and algorithms
Keywords: 15A99; 33C45; 41A20; 41A21; 41A63; 42C05; 42C10; 65F05; 65F30Multivariate Padé approximants; Tchebyshev series; Orthogonal polynomials; Orthogonal expansions; Rational approximation; Displacement rank structure
Transport schemes on a sphere using radial basis functions
Keywords: 58J45; 41A21; 41A15; 41A63; 65D25; 65D30; 65M20; 65M70; 76M22; 86A10Radial basis functions; Hyperbolic PDEs; Spherical geometry; Mesh-free
Semi-cardinal interpolation and difference equations: From cubic B-splines to a three-direction box-spline construction
Keywords: primary 41A15; secondary 41A05; 41A25; 41A63; 39A70; 47B35Multivariable interpolation; Box-splines; Boundary conditions; Difference equations; Wiener–Hopf
Scattered node compact finite difference-type formulas generated from radial basis functions
Keywords: 41A21; 41A30; 41A63; 65D25; 65N06Radial basis functions; Partial differential equations; Finite difference method; Compact; Mehrstellenverfahren; Mesh-free
Polynomial projectors preserving homogeneous partial differential equations
Keywords: 41A05; 41A63; 46A32; Polynomial projector preserving homogeneous partial differential equations; Space of interpolation conditions; D-Taylor projector; Birkhoff projector; Abel-Gontcharoff projector;
Greedy algorithm for functions with low mixed smoothness
Keywords: 41A25; 41A46; 41A63; 42C40; Greedy algorithm; Functions with low mixed smoothness; Wavelet-type basis;
Derivatives of multidimensional Bernstein operators and smoothness
Keywords: 41A36; 41A63; Simplex; Bernstein operators; Derivatives; Modulus of smoothness;
Linear widths of a multivariate function space equipped with a Gaussian measure
Keywords: 41A46; 41A63; 42A61; 46C99; Probabilistic linear width; Average linear width; Sobolev space with bounded mixed derivative; Gaussian measure;
Honeycomb and k-fold Hermite subdivision schemes
Keywords: 41A05; 41A15; 41A63; 42C40; 65T60; 65F15; Refinable function; Vector refinability; Subdivision scheme; Hermite subdivision scheme; Shift invariant subspace; Symmetry; Smoothness; Subdivision surface; Tiling; Honeycomb;
Ul'yanov and Nikol'skii-type inequalities
Keywords: 41A25; 41A63; 42B15; Moduli of smoothness; Best approximation; Lp spaces; Realization;
Multiscale approximation of piecewise smooth two-dimensional functions using normal triangulated meshes
Keywords: 41A46; 41A63; 42C40; Normal offsets; Mesh; Image; Multiresolution; Wavelet; Approximation;
Approximation orders of shift-invariant subspaces of W2s(Rd)
Keywords: 41A25; 41A63; 41A30; 41A15; 42B99; 46E30; Approximation order; Shift-invariant spaces; Sobolev spaces; Polynomial reproduction; Strang-Fix conditions; Refinement equation; Sum rules; Superfunction;