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Found 52 Documents (Results 1–52)

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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Approximations of conjugate functions by partial sums of conjugate Fourier series with respect to a certain system of Chebyshev-Markov algebraic fractions. (English. Russian original) Zbl 1465.42032

Russ. Math. 64, No. 9, 61-75 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 9, 68-84 (2020).
MSC:  42C10 42A10
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Integral estimates for Laguerre polynomials with exponential weight function. (English. Russian original) Zbl 1443.33012

Russ. Math. 64, No. 4, 12-20 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 4, 16-25 (2020).
MSC:  33C45
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Approximation by classical orthogonal polynomials with weight in spaces \(L_{2, \gamma }(a,b)\) and widths of some functional classes. (English. Russian original) Zbl 1443.41003

Russ. Math. 63, No. 12, 32-44 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 12, 37-51 (2019).
MSC:  41A10
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Comparison of V- and S-Dini tests. Counterexamples for symmetric Dini tests with respect to generalized Haar and Walsh systems. (English. Russian original) Zbl 1442.42066

Russ. Math. 63, No. 9, 63-83 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 9, 73-95 (2019).
MSC:  42C10 42A20
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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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The Valleé-Poussin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums. (English. Russian original) Zbl 1405.41004

Russ. Math. 62, No. 9, 60-71 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 9, 68-80 (2018).
MSC:  41A10 42C05
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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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Generalized absolute convergence of series of Fourier coefficients with respect to Haar type systems. (English. Russian original) Zbl 1396.42007

Russ. Math. 62, No. 1, 7-16 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 1, 10-20 (2018).
MSC:  42C10
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Matrix orthogonal polynomials associated with perturbations of block Toeplitz matrices. (English. Russian original) Zbl 1396.15018

Russ. Math. 61, No. 12, 57-69 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 12, 66-79 (2017).
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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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Pointwise universality of partial sums of Fourier series by generalized Walsh system. (English. Russian original) Zbl 1341.42047

Russ. Math. 60, No. 3, 32-40 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 3, 38-48 (2016).
MSC:  42C10
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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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The Fourier coefficients of functions with bounded variation. (English. Russian original) Zbl 1288.42006

Russ. Math. 57, No. 8, 10-19 (2013); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2013, No. 8, 14-23 (2013).
MSC:  42C10 42A16
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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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Absolute convergence of double series of Fourier-Haar coefficients for functions of bounded \(p\)-variation. (English. Russian original) Zbl 1261.42046

Russ. Math. 56, No. 6, 1-10 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2012, No. 6, 3-13 (2012).
MSC:  42C10 26A45
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The absolute convergence of the Fourier-Haar series for two-dimensional functions. (English. Russian original) Zbl 1157.42308

Russ. Math. 52, No. 5, 9-19 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 5, 14-25 (2008).
MSC:  42C10
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A modified \(P\)-adic integral and a modified \(P\)-adic derivative for functions defined on a half-axis. (English, Russian) Zbl 1126.26022

Russ. Math. 49, No. 6, 25-36 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 6, 28-39 (2005).
MSC:  26E99 42C10 26D15
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Approximation of functions by the Fourier-Bessel sums. (English. Russian original) Zbl 1029.42023

Russ. Math. 45, No. 8, 1-7 (2001); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2001, No. 8, 3-9 (2001).
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Correction of the Haar polynomials applied for compression of graphic information. (English. Russian original) Zbl 1017.42017

Russ. Math. 44, No. 7, 4-8 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 7, 6-10 (2000).
MSC:  42C10 42C40
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Absolute convergence of the Fourier series with respect to the generalized Haar system. (English. Russian original) Zbl 1015.42019

Russ. Math. 44, No. 3, 6-14 (2000); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2000, No. 3, 8-16 (2000).
MSC:  42C10
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On coefficients of lacunary trigonometric series and Rademacher series converging on sets of zero measure. (English. Russian original) Zbl 0857.42014

Russ. Math. 39, No. 9, 35-45 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1995, No. 9 (400), 37-47 (1995).
MSC:  42C10 42A55
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