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Found 1,413 Documents (Results 1–100)

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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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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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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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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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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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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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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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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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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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