## Found 714 Documents (Results 1–100)

100
MathJax

### Lower bounds for $$m$$-term approximations in the metric of the discrete space $$L^0_n$$. (English. Russian original)Zbl 07505223

Russ. Math. Surv. 76, No. 5, 933-935 (2021); translation from Usp. Mat. Nauk 76, No. 5, 199-200 (2021).
MSC:  41A45
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### A discretize-then-map approach for the treatment of parameterized geometries in model order reduction. (English)Zbl 07415254

MSC:  65N30 41A45 35J57
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### Kolmogorov widths of the intersection of two finite-dimensional balls. (English. Russian original)Zbl 1479.41018

Russ. Math. 65, No. 7, 17-23 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 23-29 (2021).
MSC:  41A45 46B45
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### Example of divergence of a greedy algorithm with respect to an asymmetric dictionary. (English. Russian original)Zbl 1472.41020

Math. Notes 109, No. 3, 379-385 (2021); translation from Mat. Zametki 109, No. 3, 352-360 (2021).
MSC:  41A65 41A45 46B15
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### Classes of convolutions with a singular family of kernels: sharp constants for approximation by spaces of shifts. (English. Russian original)Zbl 1462.41005

St. Petersbg. Math. J. 32, No. 2, 233-260 (2021); translation from Algebra Anal. 32, No. 2, 45-84 (2020).
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### Approximation of the classes $${W}_{\beta}^r{H}^{\alpha }$$ by three-harmonic Poisson integrals. (English. Ukrainian original)Zbl 1448.42005

J. Math. Sci., New York 246, No. 1, 39-50 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 357-371 (2019).
MSC:  42A10 42A05 41A45
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### Approximation by crystal-refinable functions. (English)Zbl 1443.41015

MSC:  41A45 39B62 65D15
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### On weaving g-frames for Hilbert spaces. (English)Zbl 1436.42037

MSC:  42C15 42C30 41A45
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### Operator norms of Gauß-Weierstraß operators and their left quasi interpolants. (English)Zbl 1438.41029

MSC:  41A36 41A45 47A30
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### Convexity of functions produced by Bernstein operators of max-product kind. (English)Zbl 1423.41036

MSC:  41A36 41A45
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### Approximation by neural networks with a generalized sigmoidal function. (English)Zbl 1408.41014

MSC:  41A30 41A45 65D15

### Approximation numbers of Sobolev and Gevrey type embeddings on the sphere and on the ball – preasymptotics, asymptotics, and tractability. (English)Zbl 1416.46034

MSC:  46E35 47B06 41A45
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### On linear versus nonlinear approximation in the average case setting. (English)Zbl 1405.41014

Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1035-1049 (2018).
MSC:  41A45 41A46 60G15
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### Extension of functions in non-isotropic Nikolskii-Besov spaces and approximation of their derivatives. (English. Russian original)Zbl 1412.46045

Izv. Math. 82, No. 5, 931-983 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 5, 78-130 (2018).
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### A complete asymptotic expansion for the quasi-interpolants of Gauß-Weierstraß operators. (English)Zbl 1400.41028

MSC:  41A60 41A45
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### Automatic computing of oscillatory integrals. (English)Zbl 06857569

MSC:  65D30 41A45
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### Rectangular maximum-volume submatrices and their applications. (English)Zbl 1374.15016

MSC:  15A15 41A45 65F20
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### Aveiro method in reproducing kernel Hilbert spaces under complete dictionary. (English)Zbl 1382.30005

MSC:  30C40 30H10 41A45
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### Approximation on variable exponent spaces by linear integral operators. (English)Zbl 1373.41017

MSC:  41A35 41A45
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### Triangulation of diffeomorphisms. (English)Zbl 1380.41009

MSC:  41A45 57R05
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### Hausdorff dimension of the set concerning with Borel-Bernstein theory in Lüroth expansions. (English)Zbl 1368.41002

MSC:  41A45 11K16 28A80
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### A randomized algorithm for multivariate function approximation. (English)Zbl 1366.41018

MSC:  41A45 41A63 41A10
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### On continuous weaving frames. (English)Zbl 1365.42028

MSC:  42C15 42C30 41A45
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### On the best linear methods of approximation and the exact values of widths for some classes of analytic functions in the weighted Bergman space. (English. Russian original)Zbl 1386.30040

Ukr. Math. J. 67, No. 10, 1537-1551 (2016); translation from Ukr. Mat. Zh. 67, No. 10, 1366-1379 (2015).
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### On perturbation of frames in locally convex spaces. (English)Zbl 1362.42068

MSC:  42C15 42C30 41A45
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### Compressed sensing and dictionary learning. (English)Zbl 1353.94015

Okoudjou, Kasso A. (ed.), Finite frame theory. A complete introduction to overcompleteness. AMS short course, San Antonio, TX, USA, January 8–9, 2015. Lecture notes. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2019-2/hbk; 978-1-4704-3212-6/ebook). Proceedings of Symposia in Applied Mathematics 73, 201-245 (2016).
MSC:  94A12 41A45 42A10

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### On the strong divergence of Hilbert transform approximations and a problem of Ul’yanov. (English)Zbl 1342.41031

MSC:  41A45 44A15 94A12
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### Exact values of widths of certain classes of periodic differentiable functions in the space $$L_2[0, 2 \pi]$$. (English)Zbl 1363.41023

MSC:  41A36 41A45 46E30
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### Approximation analysis of nonhomogeneous linear T-S fuzzy system based on grid piecewise linear function structure. (Chinese. English summary)Zbl 1349.41047

MSC:  41A45 93C42

### Estimates for approximation error of feedforward neural networks. (Chinese. English summary)Zbl 1340.41025

MSC:  41A30 41A25 41A45

### Compressive sensing with redundant dictionaries and structured measurements. (English)Zbl 1345.94014

MSC:  94A12 41A45 42A10
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### Extended best polynomial approximation operator in Orlicz spaces. (English)Zbl 1327.41002

MSC:  41A10 41A50 41A45
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### Nonlinear recovery of pseudo-differential operators. (Russian. English summary)Zbl 1325.41013

MSC:  41A45 26B40

### On quasi-greedy bases associated with unitary representations of countable groups. (English)Zbl 1375.42045

MSC:  42C10 41A45
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### Linear approximation of vector functions. (English. Russian original)Zbl 1326.41032

Proc. Steklov Inst. Math. 288, Suppl. 1, S40-S45 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 38-43 (2014).
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### On the size distortion from linearly interpolating low-frequency series for cointegration tests. (English)Zbl 1453.62385

Chang, Yoosoon (ed.) et al., Essays in honor of Peter C. B. Phillips. Bingley: Emerald. Adv. Econom. 33, 93-122 (2014).
MSC:  62F03 62J05 41A45
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### Expansions of functions based on rational orthogonal basis with nonnegative instantaneous frequencies. (English)Zbl 1442.41009

MSC:  41A45 94A12
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MSC:  41A45
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### Error analysis for moving least squares approximation in 2D space. (English)Zbl 1337.65157

MSC:  65N30 41A45 65N15
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### Six (Seven) problems in frame theory. (English)Zbl 1322.42036

Zayed, Ahmed I. (ed.) et al., New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer’s 85th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-08800-6/hbk; 978-3-319-08801-3/ebook). Applied and Numerical Harmonic Analysis, 337-358 (2014).
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### Generalized sampling approximation for multivariate discontinuous signals and applications to image processing. (English)Zbl 1358.41022

Zayed, Ahmed I. (ed.) et al., New perspectives on approximation and sampling theory. Festschrift in honor of Paul Butzer’s 85th birthday. Cham: Birkhäuser/Springer (ISBN 978-3-319-08800-6/hbk; 978-3-319-08801-3/ebook). Applied and Numerical Harmonic Analysis, 87-114 (2014).
MSC:  41A45 41A63 94A08
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### Approximation of discrete data by discrete weighted transform. (English)Zbl 1314.41020

MSC:  41A45 41A30

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### A parametric piecewise-linear approach to laser projection. (English)Zbl 1305.78006

MSC:  78A35 37E05 41A45
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### Approximation by sums of piecewise linear polynomials. (English)Zbl 1312.41034

MSC:  41A45 41A63
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### Approximation results for neural network operators activated by sigmoidal functions. (English)Zbl 1296.41017

MSC:  41A30 41A45
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MSC:  41A45
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### Approximation of classes $$B^\Omega_{p,\theta}$$ of periodic functions in several variables by linear methods. (Russian. English summary)Zbl 1289.41049

MSC:  41A63 41A45
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### Best approximation in Hardy spaces and by polynomials, with norm constraints. (English)Zbl 1275.41032

MSC:  41A40 41A45
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### On the nonclassical approximation method for periodic functions by trigonometric polynomials. (English. Russian original)Zbl 1275.41023

J. Math. Sci., New York 188, No. 2, 113-127 (2013); translation from Ukr. Mat. Visn. 9, No. 3, 356-374 (2012).
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### Sampling numbers of periodic Sobolev spaces with a Gaussian measure in the average case setting. (English)Zbl 1272.46026

MSC:  46E35 41A05 41A45
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MSC:  41A45
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### Formulas of linear operator interpolation with arbitrary number of nodes and arbitrary input functions. (Russian. English summary)Zbl 1366.41004

MSC:  41A05 41A45

### A particular class of linear and positive Stancu-type operators. (English)Zbl 1313.41055

MSC:  41A45 41A60

### Asymptotic approximation of bidimensional modified gamma operators. (English)Zbl 1263.41019

MSC:  41A58 41A45 41A63

### Approximation of $$(\psi,\beta)$$-differentiable functions of their Weierstrass integrals in the integral metric. (Ukrainian. English summary)Zbl 1265.41045

MSC:  41A35 41A45

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### Estimates for functionals with a known finite set of moments in terms of deviations of operators constructed with the use of the Steklov averages and finite differences. (English. Russian original)Zbl 1262.41010

J. Math. Sci., New York 184, No. 6, 679-698 (2012); translation from Zap. Nauchn. Semin. POMI 392, 32-66 (2011).
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### On moduli of smoothness and $$K$$-functionals of fractional order in the Hardy spaces. (English. Russian original)Zbl 1268.41012

J. Math. Sci., New York 181, No. 1, 78-97 (2012); translation from Ukr. Mat. Visn. 8, No. 3, 421-446 (2011).
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### Approximation of integrable functions by general linear operators of their Fourier series. (English)Zbl 1256.42008

MSC:  42A24 41A45
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### A note on the representation of continuous functions by linear superpositions. (English)Zbl 1247.26022

MSC:  26B40 41A45
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### Expansions of elementary and special functions in classical polynomials and Bessel functions. (Разложения элементарных и специальных функций по классическим многочленам и функциям Бесселя.) (Russian)Zbl 1307.33001

Moskva: Rossiĭskaya Akademiya Nauk, Vychislitel’nyĭ Tsentr im. A. A. Dorodnitsyna (ISBN 978-5-91601-063-3). 192 p. (2011).

MSC:  41A45
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### Flux-based approach for conservative remap of multi-material quantities in 2D arbitrary Lagrangian-Eulerian simulations. (English)Zbl 1246.76103

Fořt, Jaroslav (ed.) et al., Finite volumes for complex applications VI: Problems and perspectives. FVCA 6, international symposium, Prague, Czech Republich, June 6–10, 2011. Vol. 1 and 2. Berlin: Springer (ISBN 978-3-642-20670-2/hbk; 978-3-642-20671-9/ebook). Springer Proceedings in Mathematics 4, 623-631 (2011).
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### Some comparisons of complexity in dictionary-based and linear computational models. (English)Zbl 1217.68184

MSC:  68T05 41A45 92B20
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### Truncation, amplitude, and jitter errors on $$\mathbb R$$ for sampling series derivatives. (English)Zbl 1213.41016

MSC:  41A45 94A20
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### Extension of the operator of best polynomial approximation in $$L^p(\Omega )$$. (English)Zbl 1208.41021

MSC:  41A65 41A45 46E30
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### On the exact estimations of the best $$M$$-terms approximation of the Besov class. (Russian. English summary)Zbl 1329.41035

MSC:  41A50 41A45
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### An approximation model of continuous functions. (English)Zbl 1229.41019

MSC:  41A30 41A45 68P30
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### Dominating subsets under projections. (English)Zbl 1222.41045

MSC:  41A63 41A45 41A50
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### Error bounds for approximations from projected linear equations. (English)Zbl 1218.90211

MSC:  90C40 41A45 90C59
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