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Found 22 Documents (Results 1–22)

The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II. (English. Russian original) Zbl 0819.42011

Ukr. Math. J. 45, No. 10, 1583-1597 (1993); translation from Ukr. Mat. Zh. 45, No. 10, 1411-1423 (1993).
MSC:  42B99 41A63 46E35
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The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables. (English. Russian original) Zbl 0819.42010

Ukr. Math. J. 45, No. 5, 724-738 (1993); translation from Ukr. Mat. Zh. 45, No. 5, 663-675 (1993).
MSC:  42B99 41A46 46E35
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Optimal algorithms for the solution of Volterra integral equations of the second kind in classes of smooth functions. (English. Russian original) Zbl 0734.65094

Ukr. Math. J. 41, No. 1, 120-123 (1989); translation from Ukr. Mat. Zh. 41, No. 1, 130-133 (1989).
Reviewer: L.Haçia (Poznań)
MSC:  65R20 45D05
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Solution of overdetermined and underdetermined elliptic problems with nonsmooth data. (English. Russian original) Zbl 0704.35106

Ukr. Math. J. 41, No. 9, 1053-1056 (1989); translation from Ukr. Mat. Zh. 41, No. 9, 1222-1225 (1989).
MSC:  35N10 35J30
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A difference analogue of the imbedding theorem for the anisotropic Sobolev space \(\overset\circ W^ 1_{p_ 1,\dots ,p_ n}\). (English. Russian original) Zbl 0696.46030

Ukr. Math. J. 41, No. 7, 837-841 (1989); translation from Ukr. Mat. Zh. 41, No. 7, 979-984 (1989).
MSC:  46E35
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Embedding theorems for the spaces \(\overset\circ W^ 1_{\beta}({\bar \lambda}(x),K_ r)\) and \(W^ 1_{\beta}({\bar \lambda}(x),K_ r)\). (English. Russian original) Zbl 0644.46020

Ukr. Math. J. 39, No. 4, 359-364 (1987); translation from Ukr. Mat. Zh. 39, No. 4, 450-457 (1987).
Reviewer: V.V.Kovrizkin
MSC:  46E35
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