## Found 4,716 Documents (Results 1–100)

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### Linking the Hoeffding-sobol and Möbius formulas through a decomposition of kuo, sloan, wasilkowski, and woźniakowski. (English)Zbl 07512053

MSC:  41A63 46N30
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### Nonlinear versions of Korovkin’s abstract theorems. (English)Zbl 07481808

MSC:  41A35 41A36 41A63
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### Approximation by linear combinations of translates of a single function. (English)Zbl 07475810

MSC:  41A46 41A63 42A99
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### A generalisation of de la Vallée-Poussin procedure to multivariate approximations. (English)Zbl 1482.41022

MSC:  41A63 41A10
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### Taylor type and Hermite type interpolants in $$\mathbb{R}^n$$. (English)Zbl 07456972

MSC:  41A10 41A63
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### Optimal approximation rate of ReLU networks in terms of width and depth. (English. French summary)Zbl 07453385

MSC:  41A25 41A63 41A46 68T15
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### Ridge functions and applications in neural networks. (English)Zbl 07498870

Mathematical Surveys and Monographs 263. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6765-4/pbk; 978-1-4704-6800-2/ebook). ix, 186 p. (2021).
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### On the error of approximation by RBF neural networks with two hidden nodes. (English)Zbl 07487928

MSC:  41A30 41A63 92B20
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### Sampling discretization of integral norms. (English)Zbl 1480.65060

MSC:  65D30 42A05 41A63
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### Reconstructing piecewise smooth bivariate functions from scattered data. (English)Zbl 07457038

MSC:  41A05 41A63
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### Approximation of functions of several variables by continuous linear splines on rectilinear grids. (English)Zbl 07457032

MSC:  41A15 41A28 41A63
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### Conditions for the solvability of nonlinear equations systems in Euclidean spaces. (Ukrainian. English summary)Zbl 07450259

MSC:  41A05 41A63
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### Adaptive sampling recovery and nonlinear approximations of multivariate functions in Besov-type spaces. (English)Zbl 07449408

MSC:  41A46 41A25 41A63

### Data approximation using polyharmonic radial basis functions. (English)Zbl 07447617

Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 20. Proceedings of the 20th seminar (PANM), Hejnice, Czech Republic, June 21–26, 2020. Prague: Czech Academy of Sciences, Institute of Mathematics. 129-138 (2021).
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### Data-driven reduced order modeling based on tensor decompositions and its application to air-wall heat transfer in buildings. (English)Zbl 1476.65059

MSC:  65F25 41A63 80A19
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### A note on EC-tractability of multivariate approximation in weighted Korobov spaces for the standard information class. (English)Zbl 07418850

MSC:  41A63 65Y20 68Q25
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### Asymptotically optimal cubature formulas on manifolds for prefixed weights. (English)Zbl 1480.41009

MSC:  41A55 41A63 52C35
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### Deep network approximation for smooth functions. (English)Zbl 07407717

MSC:  68Txx 41A25 41A63
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### On generalized least power approximation. (English)Zbl 1479.41007

MSC:  41A10 41A63 41A65
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### Hardy-Littlewood and Ulyanov inequalities. (English)Zbl 07403469

Memoirs of the American Mathematical Society 1325. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4758-8/pbk; 978-1-4704-6628-2/ebook). viii, 118 p. (2021).
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### Multivariate Haar systems in Besov function spaces. (English. Russian original)Zbl 1479.42095

Sb. Math. 212, No. 6, 810-842 (2021); translation from Mat. Sb. 212, No. 6, 73-108 (2021).
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### Sinc methods on polyhedra. (English)Zbl 1479.41014

Baumann, Gerd (ed.), New sinc methods of numerical analysis. Festschrift in honor of Frank Stenger’s 80th birthday. Based on the presentations at the symposium, Rhodes, Greece, September 13–18, 2018. Cham: Birkhäuser. Trends Math., 163-224 (2021).
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### Properties of spline spaces over structured hierarchical box partitions. (English)Zbl 1469.41002

van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 177-207 (2021).
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### On the gradient conjecture for quadratic polynomials. (English)Zbl 1479.41006

Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 171-179 (2021).
MSC:  41A10 41A63
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### On DC based methods for phase retrieval. (English)Zbl 1481.94054

Fasshauer, Gregory E. (ed.) et al., Approximation theory XVI. Proceedings of the international conference, Nashville, TN, USA, May 19–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 336, 87-121 (2021).
MSC:  94A12 41A63
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### Chebyshev approximation of multivariable functions by the exponential expression. (English. Ukrainian original)Zbl 1470.41031

Cybern. Syst. Anal. 57, No. 3, 429-435 (2021); translation from Kibern. Sist. Anal. 57, No. 3, 106-113 (2021).
MSC:  41A63 41A10 65D15
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### Best $$L^2$$-extension of algebraic polynomials from the unit Euclidean sphere to a concentric sphere. (English. Russian original)Zbl 1470.41030

Proc. Steklov Inst. Math. 313, Suppl. 1, S6-S13 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 47-55 (2020).
MSC:  41A63 26C05
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### Local approximation from spline spaces on box meshes. (English)Zbl 1469.41001

MSC:  41A15 41A25 41A63
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### On recovery of regular ridge functions. (English. Russian original)Zbl 1469.41014

Math. Notes 109, No. 2, 307-311 (2021); translation from Mat. Zametki 109, No. 2, 307-311 (2021).
MSC:  41A63
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### On MRAs and prewavelets based on elliptic splines. (English)Zbl 1470.42061

MSC:  42C40 41A15 41A63
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### Sharp $$L_p$$ Bernstein type inequality for cuspidal domains in $$\mathbb{R}^d$$. (English)Zbl 1468.41006

MSC:  41A17 41A63
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### “Smooth rigidity” and Remez-type inequalities. (English)Zbl 1466.41007

MSC:  41A17 41A63
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### Multivariate interpolation: preserving and exploiting symmetry. (English)Zbl 1479.41002

MSC:  41A05 41A63 13P10
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### Approximation of the derivatives of a function in Lagrange interpolation on low-dimensional simplices. (English. Russian original)Zbl 1464.41001

Proc. Steklov Inst. Math. 312, 261-269 (2021); translation from Tr. Mat. Inst. Steklova 312, 272-281 (2021).
MSC:  41A05 41A63
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### Multidimensional intertwining Leja sequences and applications in bidimensional Lagrange interpolation. (English)Zbl 1460.41002

MSC:  41A05 41A63
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### How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. (English)Zbl 1470.46058

MSC:  46E35 47B06 41A63
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### A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. (English)Zbl 1458.65018

MSC:  65D15 41A30 41A63
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### Trigonometric approximation on the hexagon. (English)Zbl 07473693

MSC:  41A25 41A63 42B08

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### Sparse approximation of multivariate functions from small datasets via weighted orthogonal matching pursuit. (English)Zbl 07437831

Sherwin, Spencer J. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2018. Selected papers from the ICOSAHOM conference, London, UK, July 9–13, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 134, 611-621 (2020).
MSC:  41A63 41A81
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### Optimal numerical integration on classes of smooth functions in several variables. (English)Zbl 07406174

MSC:  42B35 41A63 65D30

### Adaptive low-rank approximations for operator equations: accuracy control and computational complexity. (English)Zbl 1478.65105

Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 1-44 (2020).
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### Sampling inequalities for anisotropic tensor product grids. (English)Zbl 1466.41016

MSC:  41A63 41A30
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