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Found 949 Documents (Results 1–100)

On estimates of uniform approximations by rational Fourier-Chebyshev integral operators for a certain choice of poles. (English. Russian original) Zbl 1518.42004

Math. Notes 113, No. 6, 815-830 (2023); translation from Mat. Zametki 113, No. 6, 876-894 (2023).
MSC:  42A10 41A20 41A50
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Weak limits of consecutive projections and of greedy steps. (English. Russian original) Zbl 1520.47119

Proc. Steklov Inst. Math. 319, 56-63 (2022); translation from Tr. Mat. Inst. Steklova 319, 64-72 (2022).
MSC:  47N10 41A65
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Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness). (English. Ukrainian original) Zbl 1507.42003

J. Math. Sci., New York 268, No. 2, 178-191 (2022); translation from Ukr. Mat. Visn. 19, No. 3, 355-372 (2022).
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Approximation of the classes of periodic functions of one and many variables from the Nikol’skii-Besov and Sobolev spaces. (English. Ukrainian original) Zbl 1526.42004

Ukr. Math. J. 74, No. 6, 967-980 (2022); translation from Ukr. Mat. Zh. 74, No. 6, 844-855 (2022).
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Sharp estimates for the best approximations of smooth functions in \(C_{2 \pi }\) in terms of linear combinations of the modules of continuity of their derivatives. (English. Ukrainian original) Zbl 1525.41002

Ukr. Math. J. 74, No. 4, 651-655 (2022); translation from Ukr. Mat. Zh. 74, No. 4, 569-572 (2022).
MSC:  41A10 42A05 42A10
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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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The order of comonotone approximation of differentiable periodic functions. (English. Ukrainian original) Zbl 1510.42003

J. Math. Sci., New York 260, No. 5, 651-661 (2022); translation from Ukr. Mat. Visn. 18, No. 4, 505-517 (2021).
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Extremal interpolation with the least value of the norm of the second derivative in \(L_p(\mathbb{R})\). (English. Russian original) Zbl 1489.41001

Izv. Math. 86, No. 1, 203-219 (2022); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 86, No. 1, 219-236 (2022).
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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 1498.41027

Ukr. Math. J. 73, No. 8, 1278-1298 (2022); translation from Ukr. Mat. Zh. 73, No. 8, 1102-1119 (2021).
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On the constants in inverse theorems for the first-order derivative. (English. Russian original) Zbl 1484.42004

Vestn. St. Petersbg. Univ., Math. 54, No. 4, 334-344 (2021); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 8(66), No. 4, 559-571 (2021).
MSC:  42A10 41A10 41A30
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Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns. (English. Russian original) Zbl 1489.41020

Math. Notes 110, No. 6, 947-951 (2021); translation from Mat. Zametki 110, No. 6, 916-921 (2021).
MSC:  41A65 46B20
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On min-max affine approximants of convex or concave real-valued functions from \(\mathbb{R}^k\), Chebyshev equioscillation and graphics. (English) Zbl 1486.41013

Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 373-383 (2021).
MSC:  41A50 90C90
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Sampling by averages and average splines on Dirichlet spaces and on combinatorial graphs. (English) Zbl 1481.94074

Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 243-268 (2021).
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