## Found 1,413 Documents (Results 1–100)

100
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### Optimal recovery in weighted spaces with homogeneous weights. (English. Russian original)Zbl 07528026

Sb. Math. 213, No. 3, 385-411 (2022); translation from Mat. Sb. 213, No. 3, 111-138 (2022).
MSC:  41A65 41A46 49N30
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### Quantitative approximation results for complex-valued neural networks. (English)Zbl 07517703

MSC:  68T07 41A25 41A46
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### A note on optimal Hermite interpolation in Sobolev spaces. (English)Zbl 07512162

MSC:  41A05 41A25 41A46
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### Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space $$B_{1,1}$$. (English. Ukrainian original)Zbl 07491010

Ukr. Math. J. 73, No. 8, 1278-1298 (2022); translation from Ukr. Mat. Zh. 73, No. 8, 1102-1119 (2021).
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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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### Lower bounds of cowidths and widths of multiplier operators. (English)Zbl 07472476

MSC:  41A46 42C10
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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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### Comparison theorems on large-margin learning. (English)Zbl 07460223

MSC:  68Q32 68W40 41A46
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### Adaptive sampling recovery and nonlinear approximations of multivariate functions in Besov-type spaces. (English)Zbl 07449408

MSC:  41A46 41A25 41A63

### Sharp conditions for the convergence of greedy expansions with prescribed coefficients. (English)Zbl 07435622

MSC:  41A46 41A65
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MSC:  41A46
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MSC:  41A46
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### Order estimates of the uniform approximations by Zygmund sums on the classes of convolutions of periodic functions. (English)Zbl 1476.41014

MSC:  41A46 41A50
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### Kolmogorov widths of weighted Sobolev classes on a multi-dimensional domain with conditions on the derivatives of order $$r$$ and zero. (English)Zbl 1471.41013

MSC:  41A46 46E35
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### Modified iterations for data-sparse solution of linear systems. (English)Zbl 1472.65037

MSC:  65F10 65J99 41A46
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### Kolmogorov widths of the Besov classes $$B^1_{1,\theta}$$ and products of octahedra. (English)Zbl 07343919

Proc. Steklov Inst. Math. 312, 215-225 (2021) and Tr. Mat. Inst. Steklova 312, 224-235 (2021).
MSC:  41A46 46E35
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### Kolmogorov widths of intersections of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives. (English. Russian original)Zbl 1460.41014

Izv. Math. 85, No. 1, 1-23 (2021); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 85, No. 1, 3-26 (2021).
MSC:  41A46
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### Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol’skii-Besov spaces. (English. Ukrainian original)Zbl 1462.42002

J. Math. Sci., New York 252, No. 4, 508-525 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 372-395 (2020).
MSC:  42A10 41A46 42B10
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### Estimates of entropy numbers in probabilistic setting. (English)Zbl 07435578

MSC:  41A46 42A61
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### Characteristics of linear and nonlinear approximation of classes of periodic functions of several variables. (Ukrainian. English summary)Zbl 07402546

MSC:  41A46 42A10

### 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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### $$n$$-widths of a periodic function class in Orlicz spaces. (Chinese. English summary)Zbl 1474.41072

MSC:  41A46 41A30
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### Nonlinear spline approximation in BMO$$(\mathbb{R})$$. (English)Zbl 1460.41005

Draganov, Borislav (ed.) et al., Constructive theory of functions. Proceedings of the 13th international conference, Sozopol, Bulgaria, June 2–8, 2019. Dedicated to the memory of Blagovest Sendov. Sofia: Prof. Marin Drinov Academic Publishing House. 73-112 (2020).
MSC:  41A15 41A17 41A46
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### Order estimates for the Kolmogorov widths of weighted Sobolev classes with restrictions on derivatives. (English)Zbl 1474.41073

MSC:  41A46 46E35
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### Approximative characteristics of the Nikol’skii-Besov-type classes of periodic functions in the space $$B_{\infty,1}$$. (English)Zbl 1458.41009

MSC:  41A46 41A50
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### Entropy numbers of finite-dimensional embeddings. (English)Zbl 07304241

MSC:  47B06 41A46 46B07
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### Model of Bernoulli memristors in the form of split signals polynomial. (Russian. English summary)Zbl 1457.37112

MSC:  37N35 41A46 94C05
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### Estimates of the values of $$n$$-widths of classes of analytic functions in the weight spaces $$H_{2,\gamma}(D)$$. (English. Russian original)Zbl 1454.42024

Math. Notes 108, No. 6, 775-790 (2020); translation from Mat. Zametki 108, No. 6, 803-822 (2020).
MSC:  42C05 42B10 41A46
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### Manifold approximation by moving least-squares projection (MMLS). (English)Zbl 1455.65042

MSC:  65D99 41A46 65F55
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### Lebesgue inequalities for Chebyshev thresholding greedy algorithms. (English)Zbl 1451.41010

MSC:  41A65 41A50 41A46
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### Linear and Kolmogorov widths of the classes $$B_{p,\theta}^{\Omega}$$ of periodic functions of one and several variables. (English. Ukrainian original)Zbl 1448.41024

J. Math. Sci., New York 249, No. 5, 720-732 (2020); translation from Ukr. Mat. Visn. 17, No. 2, 171-187 (2020).
MSC:  41A46 42B35
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### On the estimates of the values of various widths of classes of functions of two variables in the weight space $$L_{2, \gamma } ( \mathbb{R}^2)$$, $$\gamma = \exp ( - x^2 - y^2)$$. (English. Ukrainian original)Zbl 1462.46031

J. Math. Sci., New York 248, No. 2, 217-232 (2020); translation from Ukr. Mat. Visn. 17, No. 1, 94-102 (2020).
MSC:  46E30 41A46
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### Kolmogorov widths of weighted Sobolev classes on an interval with conditions on the zeroth and first derivatives. (English. Russian original)Zbl 1473.41007

Math. Notes 107, No. 3, 522-524 (2020); translation from Mat. Zametki 107, No. 3, 470-472 (2020).
MSC:  41A46
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### Entropy numbers of compact embeddings of smoothness Morrey spaces on bounded domains. (English)Zbl 1446.46019

MSC:  46E35 47B06 41A46
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### Optimal approximation order of piecewise constants on convex partitions. (English)Zbl 07181484

MSC:  65D15 41A46
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### Greedy algorithms and Kolmogorov widths in Banach spaces. (English)Zbl 1434.41023

MSC:  41A46 41A60 46B06
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### On the optimality of the trigonometric system. (English)Zbl 1431.42001

MSC:  42A10 41A46 41A25
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### On generalized characteristics of smoothness of functions and on average $$\nu$$-widths in the space $$L_2(\mathbb{R})$$. (English)Zbl 07437678

MSC:  41A46 26A15 42A38
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MSC:  41A46
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### Best linear approximation methods for some classes of analytic functions on the unit disk. (English. Russian original)Zbl 1444.41006

Sib. Math. J. 60, No. 6, 1101-1108 (2019); translation from Sib. Mat. Zh. 60, No. 6, 1414-1423 (2019).
MSC:  41A44 30H20 41A46
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### Approximating characteristics of the classes of periodic multivariate functions in the space $$B_{ \infty , 1}$$. (English. Ukrainian original)Zbl 1436.42005

Ukr. Math. J. 71, No. 2, 308-321 (2019); translation from Ukr. Mat. Zh. 71, No. 2, 271-282 (2019).
MSC:  42A10 41A46
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### On the estimates of widths of the classes of functions defined by the generalized moduli of continuity and majorants in the weighted space $$L_{2,x}(0, 1)$$. (English. Russian original)Zbl 1435.41029

Ukr. Math. J. 71, No. 2, 202-214 (2019); translation from Ukr. Mat. Zh. 71, No. 2, 179-189 (2019).
MSC:  41A46 46E35
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### Estimates of approximative characteristics of the classes $$B^{\Omega}_{p,\theta}$$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $$L_q$$. (English)Zbl 1436.42003

MSC:  42A10 41A30 41A46
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### Chebyshev centres, Jung constants, and their applications. (English. Russian original)Zbl 1435.41028

Russ. Math. Surv. 74, No. 5, 775-849 (2019); translation from Usp. Mat. Nauk 74, No. 5, 3-82 (2019).
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### Diameters of Sobolev weight classes with a “small” set of singularities for weights. (English)Zbl 1444.46028

MSC:  46E35 47B06 41A46
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### Practical realization of discrete-time Volterra series for high-order nonlinearities. (English)Zbl 1430.41020

MSC:  41A58 41A46 68Q27
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### Exact estimate of $$n$$-widths of a convolution function class in Orlicz spaces. (Chinese. English summary)Zbl 1449.41016

MSC:  41A30 41A46

### Some quantitative result on compact embeddings in smoothness Morrey spaces on bounded domains; an approach via interpolation. (English)Zbl 1445.46036

Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 181-191 (2019).
MSC:  46E35 41A46 47B06
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### Approximate characteristics of the classes $${B}_{p,\theta}^{\Omega}$$ of periodic functions of one variable and many ones. (English. Ukrainian original)Zbl 1430.42003

J. Math. Sci., New York 242, No. 6, 820-832 (2019); translation from Ukr. Mat. Visn. 16, No. 1, 88-104 (2019).
MSC:  42A10 41A46 42B35
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### On estimates in $$L_2(\mathbb{R} )$$ of mean $$\nu$$-widths of classes of functions defined via the generalized modulus of continuity of $$\omega_\mathcal{M}$$. (English. Russian original)Zbl 1429.41027

Math. Notes 106, No. 2, 191-202 (2019); translation from Mat. Zametki 106, No. 2, 198-211 (2019).
MSC:  41A46 41A17
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### Approximation by translates of a single function of functions in space induced by the convolution with a given function. (English)Zbl 1428.41040

MSC:  41A63 41A46 42A10
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### Entropy numbers of the Nikol’skii-Besov-type classes of periodic functions of many variables. (English. Ukrainian original)Zbl 1428.41032

J. Math. Sci., New York 241, No. 1, 64-76 (2019); translation from Ukr. Mat. Visn. 15, No. 3, 383-398 (2018).
MSC:  41A46 42B35
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### The best approximations and widths of the classes of periodical functions of one and several variables in the space $$B_{\infty, 1}$$. (Ukrainian. English summary)Zbl 1423.41042

MSC:  41A50 41A46
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### Estimates for the entropy numbers of the classes $${B}_{p,\theta}^{\Omega }$$ of periodic multivariable functions in the uniform metric. (English. Ukrainian original)Zbl 1423.41040

Ukr. Math. J. 70, No. 9, 1439-1455 (2019); translation from Ukr. Mat. Zh. 70, No. 9, 1249-1263 (2018).
MSC:  41A46
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### Approximative characteristics of modular Orlicz spaces. (English. Ukrainian original)Zbl 1423.41038

J. Math. Sci., New York 239, No. 1, 30-42 (2019); translation from Ukr. Mat. Visn. 15, No. 2, 194-209 (2018).
MSC:  41A46 46E35
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### Some properties of block-radial functions and Schrödinger type operators with block-radial potentials. (English)Zbl 1462.46039

MSC:  46E35 41A46 47B06
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### Rescaled pure greedy algorithm for convex optimization. (English)Zbl 1415.65137

MSC:  65K05 90C25 41A46
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