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Found 2,577 Documents (Results 1–100)

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Vakarchuk, S. B.; Doronin, V. G.

Best mean square approximations by entire functions of finite degree on a straight line and exact values of mean widths of functional classes. (Russian, English) Zbl 1240.30187

Ukr. Mat. Zh. 62, No. 8, 1032-1043 (2010); translation in Ukr. Math. J. 62, No. 8, 1199-1212 (2010).
MSC:  30E10 41A17
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\textit{S. B. Vakarchuk} and \textit{V. G. Doronin}, Ukr. Mat. Zh. 62, No. 8, 1032--1043 (2010; Zbl 1240.30187); translation in Ukr. Math. J. 62, No. 8, 1199--1212 (2010)
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Luk’yanova, T. A.; Martynyuk, A. A.

Integral inequalities and stability of an equilibrium state on a time scale. (Russian, English) Zbl 1240.93267

Ukr. Mat. Zh. 62, No. 11, 1490-1499 (2010); translation in Ukr. Math. J. 62, No. 11, 1729-1740 (2010).
MSC:  93D05 34D20 93D20 93D30 39A22 93C70 34N05
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\textit{T. A. Luk'yanova} and \textit{A. A. Martynyuk}, Ukr. Mat. Zh. 62, No. 11, 1490--1499 (2010; Zbl 1240.93267); translation in Ukr. Math. J. 62, No. 11, 1729--1740 (2010)
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Litovchenko, V. A.; Strybko, O. V.

Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type. (Ukrainian, English) Zbl 1240.35293

Ukr. Mat. Zh. 62, No. 11, 1473-1489 (2010); translation in Ukr. Math. J. 62, No. 11, 1707-1728 (2010).
MSC:  35K65
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\textit{V. A. Litovchenko} and \textit{O. V. Strybko}, Ukr. Mat. Zh. 62, No. 11, 1473--1489 (2010; Zbl 1240.35293); translation in Ukr. Math. J. 62, No. 11, 1707--1728 (2010)
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Ivasyshen, S. D.; Litovchenko, V. A.

Cauchy problem for a class of degenerate Kolmogorov-type parabolic equations with nonpositive genus. (Ukrainian, English) Zbl 1240.35292

Ukr. Mat. Zh. 62, No. 10, 1330-1350 (2010); translation in Ukr. Math. J. 62, No. 10, 1543-1566 (2010).
MSC:  35K65
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\textit{S. D. Ivasyshen} and \textit{V. A. Litovchenko}, Ukr. Mat. Zh. 62, No. 10, 1330--1350 (2010; Zbl 1240.35292); translation in Ukr. Math. J. 62, No. 10, 1543--1566 (2010)
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Serdyuk, A. S.; Sokolenko, I. V.

Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes \(H_{\omega_p}\) in the metrics of the spaces \(L_p\). (Ukrainian, English) Zbl 1224.41027

Ukr. Mat. Zh. 62, No. 7, 979-996 (2010); translation in Ukr. Math. J. 62, No. 7, 1139-1157 (2010).
MSC:  41A10 41A50
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\textit{A. S. Serdyuk} and \textit{I. V. Sokolenko}, Ukr. Mat. Zh. 62, No. 7, 979--996 (2010; Zbl 1224.41027); translation in Ukr. Math. J. 62, No. 7, 1139--1157 (2010)
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Rukasov, V. I.; Chaichenko, S. O.

Approximation by de la Vallée-Poussin operators on the classes of functions locally summable on the real axis. (Ukrainian, English) Zbl 1224.42006

Ukr. Mat. Zh. 62, No. 7, 968-978 (2010); translation in Ukr. Math. J. 62, No. 7, 1126-1138 (2010).
MSC:  42A10 41A35
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\textit{V. I. Rukasov} and \textit{S. O. Chaichenko}, Ukr. Mat. Zh. 62, No. 7, 968--978 (2010; Zbl 1224.42006); translation in Ukr. Math. J. 62, No. 7, 1126--1138 (2010)
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Boldovskaya, O. M.

Removability of an isolated singularity of solutions of the Neumann problem for quasilinear parabolic equations with absorption that admit double degeneration. (Russian, English) Zbl 1224.35224

Ukr. Mat. Zh. 62, No. 7, 894-912 (2010); translation in Ukr. Math. J. 62, No. 7, 1040-1060 (2010).
MSC:  35K65
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\textit{O. M. Boldovskaya}, Ukr. Mat. Zh. 62, No. 7, 894--912 (2010; Zbl 1224.35224); translation in Ukr. Math. J. 62, No. 7, 1040--1060 (2010)
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Mirzoev, S. S.; Veliev, S. G.

On solutions of one class of second-order operator differential equations in the class of holomorphic vector functions. (Russian, English) Zbl 1224.34190

Ukr. Mat. Zh. 62, No. 6, 801-813 (2010); translation in Ukr. Math. J. 62, No. 6, 928-942 (2010).
MSC:  34G10 47E05 34L10 34B15
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\textit{S. S. Mirzoev} and \textit{S. G. Veliev}, Ukr. Mat. Zh. 62, No. 6, 801--813 (2010; Zbl 1224.34190); translation in Ukr. Math. J. 62, No. 6, 928--942 (2010)
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Bondarev, B. V.; Kozyr’, S. M.

Mixing “In the sense of Ibragimov.” Estimate for the rate of approach of a family of integral functionals of a solution of a differential equation with periodic coefficients to a family of Wiener processes. Some applications. I. (Russian, English) Zbl 1224.60128

Ukr. Mat. Zh. 62, No. 6, 733-753 (2010); translation in Ukr. Math. J. 62, No. 6, 847-871 (2010).
MSC:  60H10
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\textit{B. V. Bondarev} and \textit{S. M. Kozyr'}, Ukr. Mat. Zh. 62, No. 6, 733--753 (2010; Zbl 1224.60128); translation in Ukr. Math. J. 62, No. 6, 847--871 (2010)
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Romanyuk, A. S.; Romanyuk, V. S.

Asymptotic estimates for the best trigonometric and bilinear approximations of classes of functions of several variables. (Russian, English) Zbl 1224.42005

Ukr. Mat. Zh. 62, No. 4, 536-551 (2010); translation in Ukr. Math. J. 62, No. 4, 612-629 (2010).
MSC:  42A10 42B05
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\textit{A. S. Romanyuk} and \textit{V. S. Romanyuk}, Ukr. Mat. Zh. 62, No. 4, 536--551 (2010; Zbl 1224.42005); translation in Ukr. Math. J. 62, No. 4, 612--629 (2010)
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Zhyhallo, T. V.; Kharkevych, Yu. I.

Approximation of functions from the class \(C^{\psi}_{\beta,\infty}\) by Poisson integrals in the uniform metric. (Russian, English) Zbl 1224.41048

Ukr. Mat. Zh. 61, No. 12, 1612-1629 (2009); translation in Ukr. Math. J. 61, No. 12, 1893-1914 (2009).
MSC:  41A20 41A35
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\textit{T. V. Zhyhallo} and \textit{Yu. I. Kharkevych}, Ukr. Mat. Zh. 61, No. 12, 1612--1629 (2009; Zbl 1224.41048); translation in Ukr. Math. J. 61, No. 12, 1893--1914 (2009)
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Zhygallo, T. V.; Kharkevych, Yu. I.

Approximation of \((\psi,\beta)\)-differentiable functions by Poisson integrals in the uniform metric. (Ukrainian, English) Zbl 1224.41076

Ukr. Mat. Zh. 61, No. 11, 1497-1515 (2009); translation in Ukr. Math. J. 61, No. 11, 1757-1779 (2009).
MSC:  41A35
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\textit{T. V. Zhygallo} and \textit{Yu. I. Kharkevych}, Ukr. Mat. Zh. 61, No. 11, 1497--1515 (2009; Zbl 1224.41076); translation in Ukr. Math. J. 61, No. 11, 1757--1779 (2009)
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Babenko, V. F.; Parfinovich, N. V.

Nonsymmetric approximations of classes of periodic functions by splines of defect 2 and Jackson-type inequalities. (Russian, English) Zbl 1224.41034

Ukr. Mat. Zh. 61, No. 11, 1443-1454 (2009); translation in Ukr. Math. J. 61, No. 11, 1695-1709 (2009).
MSC:  41A15 41A50
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\textit{V. F. Babenko} and \textit{N. V. Parfinovich}, Ukr. Mat. Zh. 61, No. 11, 1443--1454 (2009; Zbl 1224.41034); translation in Ukr. Math. J. 61, No. 11, 1695--1709 (2009)
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Sevost’yanov, E. A.

On the integral characterization of some generalized quasiregular mappings and the significance of the conditions of divergence of integrals in the geometric theory of functions. (Russian, English) Zbl 1224.30115

Ukr. Mat. Zh. 61, No. 10, 1367-1380 (2009); translation in Ukr. Math. J. 61, No. 10, 1610-1623 (2009).
MSC:  30C65 30C75
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\textit{E. A. Sevost'yanov}, Ukr. Mat. Zh. 61, No. 10, 1367--1380 (2009; Zbl 1224.30115); translation in Ukr. Math. J. 61, No. 10, 1610--1623 (2009)
Full Text: DOI
Babenko, V. F.; Bilichenko, R. O.

Refinement of a Hardy-Littlewood-Pólya-type inequality for powers of self-adjoint operators in a Hilbert space. (Russian, English) Zbl 1224.26068

Ukr. Mat. Zh. 61, No. 10, 1299-1305 (2009); translation in Ukr. Math. J. 61, No. 10, 1533-1540 (2009).
MSC:  26D15 46E35
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\textit{V. F. Babenko} and \textit{R. O. Bilichenko}, Ukr. Mat. Zh. 61, No. 10, 1299--1305 (2009; Zbl 1224.26068); translation in Ukr. Math. J. 61, No. 10, 1533--1540 (2009)
Full Text: DOI
Khachatryan, A. Kh.; Khachatryan, Kh. A.

On some systems of convolution-type first-order integro-differential equations on the semiaxis. (Russian, English) Zbl 1224.45012

Ukr. Mat. Zh. 61, No. 9, 1277-1292 (2009); translation in Ukr. Math. J. 61, No. 9, 1511-1528 (2009).
MSC:  45J05 45F15
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\textit{A. Kh. Khachatryan} and \textit{Kh. A. Khachatryan}, Ukr. Mat. Zh. 61, No. 9, 1277--1292 (2009; Zbl 1224.45012); translation in Ukr. Math. J. 61, No. 9, 1511--1528 (2009)
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