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Found 31 Documents (Results 1–31)

Estimation of \(K\)-functional of high order in terms of \(K\)-functional of smaller order. (Russian, English) Zbl 1103.26004

Ukr. Mat. Zh. 55, No. 11, 1530-1540 (2003); translation in Ukr. Math. J. 55, No. 11, 1841-1852 (2004).
MSC:  26A15 47A50
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Direct and indirect theorems of theory of function approximation in the space \(S^p\). (English. Russian original) Zbl 1019.41008

Ukr. Math. J. 54, No. 1, 126-148 (2002); translation from Ukr. Mat. Zh. 54, No. 1, 106-124 (2002).
MSC:  41A17 42A32
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Estimates for the best approximation and integral modulus of continuity of a function in terms of its Fourier coefficients. (English. Ukrainian original) Zbl 0940.42002

Ukr. Math. J. 50, No. 4, 562-571 (1998); translation from Ukr. Mat. Zh. 50, No. 4, 496-503 (1998).
MSC:  42A10 41A50
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Approximation of classes \(C_{\beta}^{\Psi} H_{\omega}\) by generalized de la Valleé Poussin sums. (English. Ukrainian original) Zbl 0934.42003

Ukr. Math. J. 49, No. 4, 672-677 (1997); translation from Ukr. Mat. Zh. 49, No. 4, 606-610 (1997).
MSC:  42A10 42A24
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The exact constant in the Jackson inequality in the space \(L_ 2\). (English. Russian original) Zbl 0852.42002

Ukr. Math. J. 46, No. 9, 1387-1392 (1994); translation from Ukr. Mat. Zh. 46, No. 9, 1261-1265 (1994).
MSC:  42A10 41A17 41A50
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