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Found 40 Documents (Results 1–40)

Direct and inverse theorems of the approximation of functions by algebraic polynomials and splines in the norms of the Sobolev space. (English. Russian original) Zbl 1528.41012

Russ. Math. 66, No. 6, 65-72 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 6, 79-86 (2022).
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Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics. (English. Russian original) Zbl 1512.46022

Russ. Math. 66, No. 2, 36-52 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 2, 43-61 (2022).
MSC:  46E30 41A17
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Sobolev orthogonal systems with two discrete points and Fourier series. (English. Russian original) Zbl 1484.42027

Russ. Math. 65, No. 12, 47-55 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 12, 56-66 (2021).
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Approximation of functions of a complex variable by Fourier sums in orthogonal systems in \(L_2\). (English. Russian original) Zbl 1462.41004

Russ. Math. 64, No. 6, 56-62 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 65-72 (2020).
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Discrete-time systems with frequency response of the Markov-Stieltjes type. (English. Russian original) Zbl 07309094

Russ. Math. 64, No. 6, 29-39 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 36-47 (2020).
MSC:  47Bxx 42Bxx 44Axx
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Properties of the distance function to strongly and weakly convex sets in a nonsymmetrical space. (English. Russian original) Zbl 1454.90107

Russ. Math. 64, No. 5, 17-30 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 5, 22-38 (2020).
MSC:  90C48
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On the best approximation in the mean of functions of a complex variable by Fourier series in the Bergman space. (English. Russian original) Zbl 1443.41009

Russ. Math. 64, No. 2, 66-83 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 2, 74-92 (2020).
MSC:  41A17 41A10 43A50
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Resolvent matrix of the truncated Nevanlinna-Pick matrix interpolation problem via orthogonal rational functions in the Stieltjes class. (English. Russian original) Zbl 1433.30096

Russ. Math. 63, No. 6, 58-73 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 6, 65-79 (2019).
MSC:  30E05 47A56
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Fourier-type series with integer coefficients in systems of contractions and shifts of a single function in spaces \(L_p\), \(p \geq 1\). (English. Russian original) Zbl 1437.42041

Russ. Math. 63, No. 6, 51-57 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 6, 58-64 (2019).
MSC:  42C10 42B35
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Extremal and approximative properties of simple partial fractions. (English. Russian original) Zbl 1459.41015

Russ. Math. 62, No. 12, 6-41 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 12, 9-49 (2018).
MSC:  41A50 30E10
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On generalization of Haar system and other function systems in spaces \(E_\phi\). (English. Russian original) Zbl 1392.42026

Russ. Math. 62, No. 1, 76-81 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 1, 87-92 (2018).
MSC:  42C10 46E30 42C30
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Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh. (English. Russian original) Zbl 1376.33015

Russ. Math. 61, No. 8, 59-70 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. No. 8, 67-79 (2017).
MSC:  33C45 42C05
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Multiplicative convolutions of functions from Lorentz spaces and convergence of series of Fourier-Vilenkin coefficients. (English. Russian original) Zbl 1377.42005

Russ. Math. 61, No. 5, 26-37 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 5, 32-44 (2017).
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Riemann boundary-value problem for holomorphic matrices on non-rectifiable curve. (English. Russian original) Zbl 1404.30043

Russ. Math. 61, No. 2, 17-27 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 2, 22-33 (2017).
MSC:  30E25 35Q15
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Kolmogorov-type inequalities for derived functions of two variables with application for approximation by an “angle”. (English. Russian original) Zbl 1339.41036

Russ. Math. 59, No. 11, 1-18 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 11, 3-21 (2015).
MSC:  41A50 41A17 33C45
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Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth. (English. Russian original) Zbl 1319.30047

Russ. Math. 59, No. 1, 1-10 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2015, No. 1, 3-13 (2015).
MSC:  30H99
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The asymptotic form of the Hermite-Padé approximations for a system of Mittag-Leffler functions. (English. Russian original) Zbl 1317.41013

Russ. Math. 58, No. 9, 49-56 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 9, 59-68 (2014).
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Logarithmic concavity of series in gamma ratios. (English. Russian original) Zbl 1314.33001

Russ. Math. 58, No. 6, 63-68 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2014, No. 6, 70-77 (2014).
MSC:  33B15 26A51
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Approximation of functions by universal sums of series in subsystems of Hermite polynomials. (English. Russian original) Zbl 1295.30088

Russ. Math. 57, No. 9, 12-15 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 9, 16-20 (2013).
MSC:  30E10
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Nonlinear approximation of functions from the class \(L^r\) with respect to the Vilenkin system. (English. Russian original) Zbl 1268.42049

Russ. Math. 57, No. 2, 25-33 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 2, 30-39 (2013).
MSC:  42C10
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A generalization of the universality of power lacunary series. (English. Russian original) Zbl 1264.30002

Russ. Math. 56, No. 3, 1-5 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 3, 3-8 (2012).
MSC:  30B10 30B60
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A quadrature method for solving integral equations of the mixed type. (English. Russian original) Zbl 1181.65149

Russ. Math. 53, No. 12, 18-22 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 12, 22-27 (2009).
MSC:  65R20
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Solution methods for the generalized integral Volterra equation of the first kind. (English. Russian original) Zbl 1176.65156

Russ. Math. 52, No. 9, 9-15 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 9, 11-18 (2008).
MSC:  65R20 45A05
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Equivalence of \(K\)-functionals and modulus of smoothness constructed by generalized Dunkl translations. (English. Russian original) Zbl 1175.43001

Russ. Math. 52, No. 8, 1-11 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 8, 3-15 (2008).
MSC:  43A30 42A99 44A15
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