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Found 710 Documents (Results 1–100)

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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Best orthogonal trigonometric approximations of the Nikol’skii-Besov-type classes of periodic functions in the space \(B_{ \infty ,1}\). (English. Ukrainian original) Zbl 1526.42002

Ukr. Math. J. 74, No. 6, 883-895 (2022); translation from Ukr. Mat. Zh. 74, No. 6, 772-783 (2022).
MSC:  42A10 41A50 42A75
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Some inequalities between the best polynomial approximations and averaged finite-difference norms in space \(L_2\). (English. Russian original) Zbl 1494.41006

Russ. Math. 65, No. 10, 69-81 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 10, 78-91 (2021).
MSC:  41A17 41A44
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\(k\)-best solutions of MSO problems on tree-decomposable graphs. (English) Zbl 1443.68127

Lokshtanov, Daniel (ed.) et al., 12th international symposium on parameterized and exact computation, IPEC 2017, Vienna, Austria, September 6–8, 2017. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 89, Article 16, 13 p. (2018).
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The direct theorem of the theory of approximation of periodic functions with monotone Fourier coefficients in different metrics. (English. Russian original) Zbl 1419.42002

Proc. Steklov Inst. Math. 303, Suppl. 1, S100-S114 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 3, 144-158 (2017).
MSC:  42A10 41A17 42A32
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Justification of an approach to application of orthogonal expansions for approximate integration of canonical systems of second order ordinary differential equations. (English. Russian original) Zbl 1409.65041

Mosc. Univ. Math. Bull. 73, No. 3, 111-115 (2018); translation from Vestn. Mosk. Univ., Ser. I 73, No. 3, 29-33 (2018).
MSC:  65L05 41A50
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