Gerus, O. F. An estimate for the modulus of continuity of a quaternion singular Cauchy integral. (Ukrainian, English) Zbl 1240.30190 Ukr. Mat. Zh. 62, No. 10, 1428-1435 (2010); translation in Ukr. Math. J. 62, No. 10, 1657-1665 (2010). MSC: 30E20 PDFBibTeX XMLCite \textit{O. F. Gerus}, Ukr. Mat. Zh. 62, No. 10, 1428--1435 (2010; Zbl 1240.30190); translation in Ukr. Math. J. 62, No. 10, 1657--1665 (2010) Full Text: DOI
Krotov, V. G. Quantitative form of the Luzin \(C\)-property. (Russian, English) Zbl 1224.26011 Ukr. Mat. Zh. 62, No. 3, 387-395 (2010); translation in Ukr. Math. J. 62, No. 3, 441-451 (2010). MSC: 26A15 PDFBibTeX XMLCite \textit{V. G. Krotov}, Ukr. Mat. Zh. 62, No. 3, 387--395 (2010; Zbl 1224.26011); translation in Ukr. Math. J. 62, No. 3, 441--451 (2010) Full Text: DOI
Vakarchuk, S. B. Inequalities of Jackson type and exact values of widths of classes of functions in the spaces \(S^p,1\leq p<\infty\). (Russian, English) Zbl 1127.42302 Ukr. Mat. Zh. 56, No. 5, 595-605 (2004); translation in Ukr. Math. J. 56, No. 5, 718-729 (2004). MSC: 42A10 41A17 PDFBibTeX XMLCite \textit{S. B. Vakarchuk}, Ukr. Mat. Zh. 56, No. 5, 595--605 (2004; Zbl 1127.42302); translation in Ukr. Math. J. 56, No. 5, 718--729 (2004) Full Text: DOI
Forster, B. On the relation between Fourier and Leont’ev coefficients with respect to Smirnov spaces. (English) Zbl 1076.30006 Ukr. Mat. Zh. 56, No. 4, 517-526 (2004) and Ukr. Math. J. 56, No. 4, 628-640 (2004). MSC: 30B50 42A16 PDFBibTeX XMLCite \textit{B. Forster}, Ukr. Mat. Zh. 56, No. 4, 517--526 (2004; Zbl 1076.30006) Full Text: DOI
Radzievskaya, E. I.; Radzievskij, G. V. 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). Reviewer: A. M. Gomilko (Kyïv) MSC: 26A15 47A50 PDFBibTeX XMLCite \textit{E. I. Radzievskaya} and \textit{G. V. Radzievskij}, Ukr. Mat. Zh. 55, No. 11, 1530--1540 (2004; Zbl 1103.26004); translation in Ukr. Math. J. 55, No. 11, 1841--1852 (2004) Full Text: DOI
Dovgoshei, A. A.; Potemkina, L. L. Analyticity of higher-order moduli of continuity of real-analytic functions. (Russian, English) Zbl 1103.26003 Ukr. Mat. Zh. 55, No. 6, 750-761 (2003); translation in Ukr. Math. J. 55, No. 6, 905-920 (2003). Reviewer: A. M. Gomilko (Kyïv) MSC: 26A15 26E05 PDFBibTeX XMLCite \textit{A. A. Dovgoshei} and \textit{L. L. Potemkina}, Ukr. Mat. Zh. 55, No. 6, 750--761 (2003; Zbl 1103.26003); translation in Ukr. Math. J. 55, No. 6, 905--920 (2003) Full Text: DOI
Zhelnov, O. D. Whitney interpolation constants bounded by 2 for \(k=5,6,7\). (Ukrainian, English) Zbl 1089.41021 Ukr. Mat. Zh. 55, No. 4, 546-549 (2003); translation in Ukr. Math. J. 55, No. 4, 660-664 (2003). Reviewer: A. M. Gomilko (Kyïv) MSC: 41A44 PDFBibTeX XMLCite \textit{O. D. Zhelnov}, Ukr. Mat. Zh. 55, No. 4, 546--549 (2003; Zbl 1089.41021); translation in Ukr. Math. J. 55, No. 4, 660--664 (2003) Full Text: DOI
Vakarchuk, S. B. On best polynomial approximations of \(2\pi\)-periodic functions and exact values of \(n\)-widths of functional classes in the space \(L_2\). (Ukrainian. English summary) Zbl 1024.41018 Ukr. Mat. Zh. 54, No. 12, 1603-1615 (2002). MSC: 41A50 26A15 PDFBibTeX XMLCite \textit{S. B. Vakarchuk}, Ukr. Mat. Zh. 54, No. 12, 1603--1615 (2002; Zbl 1024.41018) Full Text: DOI
Stepanets, A. I.; Serdyuk, A. S. 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). Reviewer: A.M.Gomilko (Kyïv) MSC: 41A17 42A32 PDFBibTeX XMLCite \textit{A. I. Stepanets} and \textit{A. S. Serdyuk}, Ukr. Mat. Zh. 54, No. 1, 106--124 (2002; Zbl 1019.41008); translation from Ukr. Mat. Zh. 54, No. 1, 106--124 (2002) Full Text: DOI
Stasyuk, S. A. Trigonometric widths of the classes \(B_{p,\theta}^{\Omega}\) of periodic functions of many variables. (English. Ukrainian original) Zbl 1006.42013 Ukr. Math. J. 54, No. 5, 862-868 (2002); translation from Ukr. Mat. Zh. 54, No. 5, 700-705 (2002). Reviewer: A.M.Gomilko (Kyïv) MSC: 42B05 41A46 PDFBibTeX XMLCite \textit{S. A. Stasyuk}, Ukr. Mat. Zh. 54, No. 5, 700--705 (2002; Zbl 1006.42013); translation from Ukr. Mat. Zh. 54, No. 5, 700--705 (2002) Full Text: DOI
Motornyj, V. P. On one-sided approximation of functions with regard for the location of a point on an interval. (English. Russian original) Zbl 1003.41019 Ukr. Math. J. 54, No. 5, 819-824 (2002); translation from Ukr. Mat. Zh. 54, No. 5, 666-669 (2002). Reviewer: A.M.Gomilko (Kyïv) MSC: 41A30 41A25 PDFBibTeX XMLCite \textit{V. P. Motornyj}, Ukr. Mat. Zh. 54, No. 5, 666--669 (2002; Zbl 1003.41019); translation from Ukr. Mat. Zh. 54, No. 5, 666--669 (2002)
Skrypnik, I. I. Regularity of a boundary point for degenerate parabolic equations with measurable coefficients. (English. Russian original) Zbl 0969.35085 Ukr. Math. J. 52, No. 11, 1768-1786 (2000); translation from Ukr. Mat. Zh. 52, No. 11, 1550-1565 (2000). Reviewer: A.N.Kochubei (Kyïv) MSC: 35K65 35D10 PDFBibTeX XMLCite \textit{I. I. Skrypnik}, Ukr. Mat. Zh. 52, No. 11, 1550--1565 (2000; Zbl 0969.35085); translation from Ukr. Mat. Zh. 52, No. 11, 1550--1565 (2000)
Diab, F. M. On the differential properties of continuous functions. (English) Zbl 0955.26002 Ukr. Math. J. 51, No. 8, 1266-1270 (1999) and Ukr. Mat. Zh. 51, No. 8, 1122-1125 (1999). MSC: 26A24 26A15 PDFBibTeX XMLCite \textit{F. M. Diab}, Ukr. Mat. Zh. 51, No. 8, 1122--1125 (1999; Zbl 0955.26002) Full Text: DOI
Zaderej, P. V.; Smal’, B. A. 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 PDFBibTeX XMLCite \textit{P. V. Zaderej} and \textit{B. A. Smal'}, Ukr. Mat. Zh. 50, No. 4, 496--503 (1998; Zbl 0940.42002); translation from Ukr. Mat. Zh. 50, No. 4, 496--503 (1998) Full Text: DOI
Poyakov, O. V. On inequalities for seminorms of certain classes of differentiable periodic functions. (English. Russian original) Zbl 0934.46028 Ukr. Math. J. 49, No. 10, 1610-1614 (1997); translation from Ukr. Mat. Zh. 49, No. 10, 1432-1435 (1997). MSC: 46E10 26A15 PDFBibTeX XML
Ligun, A. A.; Chernaya, E. V. On extremal problems on classes of functions defined by integral moduli of continuity. (English. Russian original) Zbl 0947.41002 Ukr. Math. J. 49, No. 11, 1682-1687 (1997); translation from Ukr. Mat. Zh. 49, No. 11, 1499-1503 (1997). MSC: 41A05 PDFBibTeX XMLCite \textit{A. A. Ligun} and \textit{E. V. Chernaya}, Ukr. Mat. Zh. 49, No. 11, 1499--1503 (1997; Zbl 0947.41002); translation from Ukr. Mat. Zh. 49, No. 11, 1499--1503 (1997) Full Text: DOI
Rukasov, V. I.; Novikov, O. A. 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). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 42A10 42A24 PDFBibTeX XMLCite \textit{V. I. Rukasov} and \textit{O. A. Novikov}, Ukr. Mat. Zh. 49, No. 4, 606--610 (1997; Zbl 0934.42003); translation from Ukr. Mat. Zh. 49, No. 4, 606--610 (1997) Full Text: DOI
Polyakov, O. V. On inequalities for semi-norms of some classes of differentiable periodic functions. (Russian) Zbl 0894.46017 Ukr. Mat. Zh. 49, No. 10, 1432-1435 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 46E10 26A15 PDFBibTeX XMLCite \textit{O. V. Polyakov}, Ukr. Mat. Zh. 49, No. 10, 1432--1435 (1997; Zbl 0894.46017) Full Text: DOI
Sheremeta, M. M. On eigenvalues of the Fredholm operator. (Ukrainian) Zbl 0891.47034 Ukr. Mat. Zh. 48, No. 1, 116-123 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 47G10 45P05 PDFBibTeX XMLCite \textit{M. M. Sheremeta}, Ukr. Mat. Zh. 48, No. 1, 116--123 (1996; Zbl 0891.47034) Full Text: DOI
Radzievskij, G. V. Moduli of continuity defined by the zero extension of a function, and K-functionals with restrictions. (Russian) Zbl 0891.46013 Ukr. Mat. Zh. 48, No. 11, 1537-1554 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 46B70 46E35 26A15 46M35 PDFBibTeX XMLCite \textit{G. V. Radzievskij}, Ukr. Mat. Zh. 48, No. 11, 1537--1554 (1996; Zbl 0891.46013) Full Text: DOI
Gerus, O. F. An estimate for the continuity modulus of the Cauchy type integral in a domain and on its boundary. (Russian) Zbl 0886.30029 Ukr. Mat. Zh. 48, No. 10, 1321-1328 (1996). Reviewer: A.N.Kochubei (Kyïv) MSC: 30E20 PDFBibTeX XMLCite \textit{O. F. Gerus}, Ukr. Mat. Zh. 48, No. 10, 1321--1328 (1996; Zbl 0886.30029) Full Text: DOI
Gerus, O. F. Estimate of the modulus of continuity of a Cauchy-type integral in a domain and on its boundary. (English. Russian original) Zbl 0932.30037 Ukr. Math. J. 48, No. 10, 1497-1506 (1996); translation from Ukr. Mat. Zh. 48, No. 10, 1321-1328 (1996). MSC: 30E20 PDFBibTeX XMLCite \textit{O. F. Gerus}, Ukr. Mat. Zh. 48, No. 10, 1321--1328 (1996; Zbl 0932.30037); translation from Ukr. Mat. Zh. 48, No. 10, 1321--1328 (1996) Full Text: DOI
Radzievskij, G. V. Moduli of continuity defined by the zero continuation of functions and \(K\)-functionals with restrictions. (English. Russian original) Zbl 0932.46015 Ukr. Math. J. 48, No. 11, 1739-1757 (1996); translation from Ukr. Mat. Zh. 48, No. 11, 1537-1554 (1996). MSC: 46B70 46E35 26A15 46M35 PDFBibTeX XMLCite \textit{G. V. Radzievskij}, Ukr. Mat. Zh. 48, No. 11, 1537--1554 (1996; Zbl 0932.46015); translation from Ukr. Mat. Zh. 48, No. 11, 1537--1554 (1996) Full Text: DOI
Sheremeta, M. M. On the eigenvalues of the Fredholm operator. (English. Ukrainian original) Zbl 0932.47036 Ukr. Math. J. 48, No. 1, 130-139 (1996); translation from Ukr. Mat. Zh. 48, No. 1, 116-123 (1996). MSC: 47G10 45P05 PDFBibTeX XMLCite \textit{M. M. Sheremeta}, Ukr. Mat. Zh. 48, No. 1, 116--123 (1996; Zbl 0932.47036); translation from Ukr. Mat. Zh. 48, No. 1, 116--123 (1996) Full Text: DOI
Matsak, I. K. Limit theorem for the maximum of Gaussian independent random variables in space \(C\). (English. Ukrainian original) Zbl 0943.60039 Ukr. Math. J. 47, No. 7, 1152-1155 (1995); translation from Ukr. Mat. Zh. 47, No. 7, 1006-1008 (1995). Reviewer: N.M.Zinchenko (Kyïv) MSC: 60G15 60F15 60G17 PDFBibTeX XMLCite \textit{I. K. Matsak}, Ukr. Mat. Zh. 47, No. 7, 1006--1008 (1995; Zbl 0943.60039); translation from Ukr. Mat. Zh. 47, No. 7, 1006--1008 (1995) Full Text: DOI
Dyuzhenkova, O. Yu. A remark concerning the modulus of smoothness introduced by Ditzian and Totik. (English. Russian original) Zbl 0937.26005 Ukr. Math. J. 47, No. 12, 1858-1872 (1995); translation from Ukr. Mat. Zh. 47, No. 12, 1627-1638 (1995). Reviewer: A.N.Kochubei (Kyïv) MSC: 26A15 26A24 PDFBibTeX XMLCite \textit{O. Yu. Dyuzhenkova}, Ukr. Mat. Zh. 47, No. 12, 1627--1638 (1995; Zbl 0937.26005); translation from Ukr. Mat. Zh. 47, No. 12, 1627--1638 (1995) Full Text: DOI
Doronin, V. G.; Ligun, A. A. 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). Reviewer: D.K.Ugulawa (Tbilisi) MSC: 42A10 41A17 41A50 PDFBibTeX XMLCite \textit{V. G. Doronin} and \textit{A. A. Ligun}, Ukr. Mat. Zh. 46, No. 9, 1261--1265 (1994; Zbl 0852.42002); translation from Ukr. Mat. Zh. 46, No. 9, 1261--1265 (1994) Full Text: DOI
Bardzinskij, V. V. Strongly local theorems of approximation of periodic functions of several variables. (Russian) Zbl 0585.42005 Ukr. Mat. Zh. 37, No. 3, 344-348 (1985). Reviewer: J.Musielak MSC: 42A10 41A10 45B05 26A15 PDFBibTeX XMLCite \textit{V. V. Bardzinskij}, Ukr. Mat. Zh. 37, No. 3, 344--348 (1985; Zbl 0585.42005)
Pribegin, S. G. Approximation of functions of class \(H^ p\) in a circular annulus. (Russian) Zbl 0551.30031 Ukr. Mat. Zh. 36, No. 5, 641-646 (1984). Reviewer: V.V.Peller MSC: 30D55 30E10 PDFBibTeX XMLCite \textit{S. G. Pribegin}, Ukr. Mat. Zh. 36, No. 5, 641--646 (1984; Zbl 0551.30031)
Morozov, S. F.; Petrov, V. V. A modification of the method of N. N. Bogolyubov for the case of spatial non-regular discontinuous variational problems. (Russian) Zbl 0488.49005 Ukr. Mat. Zh. 34, 50-58 (1982). MSC: 49K05 26A15 49K15 PDFBibTeX XMLCite \textit{S. F. Morozov} and \textit{V. V. Petrov}, Ukr. Mat. Zh. 34, 50--58 (1982; Zbl 0488.49005) Full Text: DOI
Storozhenko, Eh. A. Zur Frage über die Einbettung gewisser Funktionenklassen. (Russian) Zbl 0402.46021 Ukr. Mat. Zh. 30, 334-345 (1978). MSC: 46E30 46E35 PDFBibTeX XMLCite \textit{Eh. A. Storozhenko}, Ukr. Mat. Zh. 30, 334--345 (1978; Zbl 0402.46021)