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Found 1,857 Documents (Results 1–100)

Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems. arXiv:2403.06029

Preprint, arXiv:2403.06029 [math.OC] (2024).
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Characteristics of the linear and nonlinear approximations of the Nikol’skii-Besov-type classes of periodic functions of several variables. (English. Ukrainian original) Zbl 07798133

J. Math. Sci., New York 274, No. 3, 307-326 (2023); translation from Ukr. Mat. Visn. 20, No. 2, 161-185 (2023).
MSC:  41Axx 42Axx 42Bxx
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Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel. arXiv:2308.13840

Preprint, arXiv:2308.13840 [math.NA] (2023).
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A complete description of the relative widths of Sobolev classes in the uniform metric. (English. Russian original) Zbl 1519.46024

Proc. Steklov Inst. Math. 319, Suppl. 1, S188-S192 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 4, 137-142 (2022).
MSC:  46E35 41A46
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Exact inequalities between the best polynomial approximations and averaged norms of finite differences in the \(B_2\) space and widths of some classes of functions. (English. Russian original) Zbl 1528.30008

Russ. Math. 66, No. 3, 50-58 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 3, 61-70 (2022).
MSC:  30E10 41A17 41A46
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\(K\)-functionals and extreme problems of the approximation theory for classes of analytic functions in a circle. II. (English. Ukrainian original) Zbl 1528.41071

Ukr. Math. J. 74, No. 7, 1053-1062 (2022); translation from Ukr. Mat. Zh. 74, No. 7, 921-929 (2022).
MSC:  41A46 30E10
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Kolmogorov widths of the Nikol’skii-Besov classes of periodic functions of many variables in the space of quasicontinuous functions. (English. Ukrainian original) Zbl 1522.46030

Ukr. Math. J. 74, No. 2, 251-265 (2022); translation from Ukr. Mat. Zh. 74, No. 2, 220-232 (2022).
MSC:  46E35 41A46
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Optimal computing units in the problem of discretizing solutions of the Klein-Gordon equation and their limit errors. (English. Russian original) Zbl 1496.65194

Differ. Equ. 58, No. 5, 698-711 (2022); translation from Differ. Uravn. 58, No. 5, 703-716 (2022).
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Estimate for the order of orthoprojection width of the Nikol’skii-Besov class in the metric of anisotropic Lorentz spaces. (English. Russian original) Zbl 1514.41021

J. Math. Sci., New York 264, No. 5, 552-561 (2022); translation from Probl. Mat. Anal. 116, 59-67 (2022).
MSC:  41A46 42B35
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