Found 1,177 Documents (Results 1–100)

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On Bernstein inequalities for multivariate trigonometric polynomials in $$L_p$$, $$0\leq p\leq\infty$$. (English)Zbl 07547214

MSC:  41A10 41A17
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Approximation properties of the Vallée-Poussin means similar to the partial sums of Fourier series in Laguerre-Sobolev polynomials. (English. Russian original)Zbl 07538030

Sib. Math. J. 63, No. 3, 451-465 (2022); translation from Sib. Mat. Zh. 63, No. 3, 545-561 (2022).
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Rogosinsky-Bernstein polynomial method of summation of trigonometric Fourier series. (English. Russian original)Zbl 07518148

Math. Notes 111, No. 4, 604-615 (2022); translation from Mat. Zametki 111, No. 4, 592-605 (2022).
MSC:  42A24 42A38 42A10
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Sums of polynomial-type exceptional units modulo $$n$$. (English)Zbl 07505692

MSC:  11B13 11L03 11L05
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Sharp Bernstein inequalities for polynomials on a real Hilbert space. (English)Zbl 07499209

MSC:  41A17 26D05
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Near-optimal polynomial interpolation on spherical triangles. (English)Zbl 07488624

MSC:  41A10 65D05
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A novel generalized trigonometric Bézier curve: properties, continuity conditions and applications to the curve modeling. (English)Zbl 07478822

MSC:  65-XX 68-XX
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Quantitative destruction of invariant circles. (English)Zbl 07475519

MSC:  37E40 37J35 37J40
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Roots of random functions: a framework for local universality. (English)Zbl 07465466

MSC:  26C10 30C15 60F05
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Cubic nonlinear differential system, their periodic solutions and bifurcation analysis. (English)Zbl 07536391

MSC:  34C05 34C07 34C25
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On certain class of weighted hyperbolic polynomials. (English. Russian original)Zbl 07492883

J. Contemp. Math. Anal., Armen. Acad. Sci. 56, No. 6, 319-331 (2021); translation from Izv. Nats. Akad. Nauk Armen., Mat. 56, No. 6, 51-69 (2021).
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Deterministic and random approximation by the combination of algebraic polynomials and trigonometric polynomials. (English)Zbl 1485.41007

MSC:  41A10 42A05 65D15
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Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers. (English)Zbl 07485650

MSC:  11B83 11C08 33B10
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Approximation by trigonometric polynomials in the variable exponent weighted Morrey spaces. (English)Zbl 07482110

MSC:  41A10 41A25 42A10
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On stable reconstruction of analytic functions from Fourier samples. (English. Russian original)Zbl 1481.65276

Proc. Steklov Inst. Math. 315, Suppl. 1, S178-S191 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 4, 182-195 (2020).
MSC:  65T40 42A16
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Bounds of the Nikol’skii polynomial constants in $$L^p$$ with Gegenbauer weight. (English. Russian original)Zbl 07466407

Proc. Steklov Inst. Math. 315, Suppl. 1, S117-S127 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 4, 126-137 (2020).
MSC:  41-XX 30-XX
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Yudin-Hermite extremal problems for polynomials. (English. Russian original)Zbl 07455559

Math. Notes 110, No. 5, 799-805 (2021); translation from Mat. Zametki 110, No. 5, 789-795 (2021).
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On distributions of trigonometric polynomials in Gaussian random variables. (English)Zbl 1476.60032

MSC:  60E05 28C20 60F99
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Strongly zero product determined Banach algebras. (English)Zbl 07403455

MSC:  47H60 42A20 47L10
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Negative results in coconvex approximation of periodic functions. (English)Zbl 1467.42001

MSC:  42A05 41A29 42A10
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Continuous trigonometric collocation polynomial approximations with geometric and superconvergence analysis for efficiently solving semi-linear highly oscillatory hyperbolic systems. (English)Zbl 1471.65072

MSC:  65M70 65M12
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Sharp inequalities of Jackson-Stechkin type and widths of classes of functions in $$L_2$$. (Russian. English translation)Zbl 1474.42012

Ufim. Mat. Zh. 13, No. 1, 56-68 (2021); translation in Ufa Math. J. 13, No. 1, 56-67 (2021).
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Edge detection with trigonometric polynomial shearlets. (English)Zbl 1464.42032

MSC:  42C40 42C15 65T60
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Uniform convergence criterion for non-harmonic sine series. (English. Russian original)Zbl 1460.42005

Sb. Math. 212, No. 1, 70-110 (2021); translation from Mat. Sb. 212, No. 1, 78-118 (2021).
MSC:  42A20 42A32 11L15
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Approximation of the Lebesgue constant of a Lagrange polynomial by a logarithmic function with shifted argument. (English. Russian original)Zbl 1459.42005

J. Math. Sci., New York 252, No. 3, 445-452 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 153, 151-157 (2018).
MSC:  42A15 41A50 41A10
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Some identifies for degenerate cosine(sine)-Euler polynomials. (English)Zbl 07540076

MSC:  11B68 33B10
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Markov-Bernstein-Nikol’skii constants for polynomials in $$L^p$$-space with the Gegenbauer weight. (Russian. English summary)Zbl 1482.41006

MSC:  41A17 42A05
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Fejer radiation pattern for linear antenna and solving the problem of amplitude-phase synthesis. (Russian. English summary)Zbl 1470.78006

MSC:  78A50 41A58 42A10
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Refined forms of Oppenheim and Cusa-Huygens type inequalities. (English)Zbl 1462.26013

MSC:  26D05 26D07 26D15
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On the probability that the maximum of a polynomial is at an endpoint of an interval. (English)Zbl 07326451

Reviewer: Petr Gurka (Praha)
MSC:  60E15 26D05 41A17
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Nikolskii constant for trigonometric polynomials with periodic Gegenbauer weight. (Russian. English summary)Zbl 1457.42001

MSC:  42A05 41A17
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Sharp Remez-type inequalities of various metrics with asymmetric restrictions imposed on the functions. (English. Russian original)Zbl 1454.42002

Ukr. Math. J. 72, No. 7, 1068-1079 (2020); translation from Ukr. Mat. Zh. 72, No. 7, 918-927 (2020).
MSC:  42A10 26D07
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Algebraic structure of the range of a trigonometric polynomial. (English)Zbl 1452.30004

MSC:  30C10 42A05
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The polynomial Carleson operator. (English)Zbl 1446.42003

MSC:  42A20 42A50 35S30
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Sharp Bernstein inequalities using convex analysis techniques. (English)Zbl 1444.41005

MSC:  41A17 26D05
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Highest weak focus order for trigonometric Liénard equations. (English)Zbl 1450.34022

MSC:  34C05 34C07 34C25
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Automated proof of mixed trigonometric-polynomial inequalities. (English)Zbl 1444.68284

MSC:  68V15 26D05
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Bernstein-Szegő inequality for the Weyl derivative of trigonometric polynomials in $$L_0$$. (English. Russian original)Zbl 1442.42002

Proc. Steklov Inst. Math. 308, Suppl. 1, 127-134 (2020); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 4, 199-207 (2018).
MSC:  42A05
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Some trigonometric polynomials with extremely small uniform norm and their applications. (English. Russian original)Zbl 1440.42002

Izv. Math. 84, No. 2, 361-391 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 2, 166-196 (2020); correction ibid. 84, No. 6, 1251 (2020).
MSC:  42A05 46E35
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A functional bound for Young’s cosine polynomial. (English)Zbl 1449.26019

MSC:  26D05 42A05
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A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems. (English)Zbl 07196643

MSC:  65M60 35L65
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Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves. (English)Zbl 07188448

MSC:  65D17 51N05
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Fractional smoothness of distributions of trigonometric polynomials on a space with a Gaussian measure. (Russian. English summary)Zbl 1435.60016

MSC:  60E05 28C20 60G15
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Crosscorrelation of Rudin-Shapiro-like polynomials. (English)Zbl 1442.11105

MSC:  11B83 94A55 42A05
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On derivative of trigonometric polynomials and characterizations of modulus of smoothness in weighted Lebesgue space with variable exponent. (English)Zbl 1463.41071

MSC:  41A81 42A10
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An introduction to numerical computation. 2nd edition. (English)Zbl 1483.65005

Hackensack, NJ: World Scientific (ISBN 978-981-12-0441-8/hbk; 978-981-120-518-7/pbk; 978-981-12-0443-2/ebook). xv, 322 p. (2020).
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A new fifth-order trigonometric WENO scheme for hyperbolic conservation laws and highly oscillatory problems. (English)Zbl 07408414

MSC:  65M06 35L65 35B06
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Some problems of approximation of periodic functions by trigonometric polynomials in $$L_2$$. (Russian. English summary)Zbl 1457.42002

MSC:  42A10 41A10 41A50
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Quadrature formulas of Gaussian type for fast summation of trigonometric series. (English)Zbl 1463.65001

MSC:  65B10 41A55 65D32
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Interrelation between Nikolskii-Bernstein constants for trigonometric polynomials and entire functions of exponential type. (Russian. English summary)Zbl 1439.30050

Chebyshevskiĭ Sb. 20, No. 3(71), 143-153 (2019); correction ibid. 21, No. 3(75), 336-338 (2020).
MSC:  30D15 30C10
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On the approximation of functions from the Hölder class given on a segment by their biharmonic Poisson operators. (English. Ukrainian original)Zbl 1434.42004

Ukr. Math. J. 71, No. 7, 1043-1051 (2019); translation from Ukr. Mat. Zh. 71, No. 7, 915-921 (2019).
MSC:  42A10 41A30
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Almost coconvex approximation of continuous periodic functions. (English. Ukrainian original)Zbl 1436.42002

Ukr. Math. J. 71, No. 3, 402-418 (2019); translation from Ukr. Mat. Zh. 71, No. 3, 353-367 (2019).
MSC:  42A10 42A75 41A17
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Explicit expressions related to degenerate Cauchy numbers and their generating function. (English)Zbl 1429.11045

Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 41-52 (2019).
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Bounds on autocorrelation coefficients of Rudin-Shapiro polynomials. (English)Zbl 1449.42001

MSC:  42A05 11L03
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On Bernstein’s inequality for polynomials. (English)Zbl 1432.42002

Anal. Math. Phys. 9, No. 3, 1181-1207 (2019); correction ibid. 9, No. 3, 1209-1210 (2019).
MSC:  42A05
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Fejér sums and Chebyshev polynomials. (English)Zbl 1428.41035

MSC:  41A50 42A10
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On structural stability and bifurcations of polynomial differential equations on the circle. (Russian. English summary)Zbl 1425.34060

MSC:  34C40 34C37 34C23
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Coexistence of period 2 and 3 caustics for deformative nearly circular billiard maps. (English)Zbl 1435.37047

MSC:  37C83 37E40 42A05
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A generalized monogenic exponential function in $$\mathbb{H}$$. (English)Zbl 1436.30041

MSC:  30G35 33B10
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On the measure of polynomials attaining maxima on a vertex. (English)Zbl 1416.26027

MSC:  26D05 46G20 46E50
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Inequalities involving Gegenbauer polynomials and their tangent lines. (English)Zbl 1416.33017

MSC:  33C45 26D05
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Algebraic approach to the classification of centers in trigonometric Cherkas systems. (English)Zbl 1433.34045

MSC:  34C05 34C25 34A34
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Fast Taylor polynomial evaluation for the computation of the matrix cosine. (English)Zbl 1434.65059

MSC:  65F60 15A16
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117 polynomial problems from the AwesomeMath summer program. (English)Zbl 1419.00005

Plano, TX: XYZ Press (ISBN 978-0-9993428-4-8/hbk). x, 262 p. (2019).

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Complexity analysis of infeasible interior-point method for semidefinite optimization based on a new trigonometric kernel function. (English)Zbl 1417.90113

MSC:  90C22 90C51
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Generalized cosecant numbers and trigonometric inverse power sums. (English)Zbl 07407808

MSC:  30B10 33B10 33E20
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On non-complete rational trigonometric sums. (English)Zbl 1434.11162

MSC:  11L03 42A05
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On interrelation of Nikolskii constants for trigonometric polynomials and entire functions of exponential type. (Russian. English summary)Zbl 1434.42002

MSC:  42A05 30D15
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On linear independence of trigonometric numbers. (English)Zbl 1449.11078

MSC:  11J72 11R11
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Questions around the Thue-Morse sequence. (English)Zbl 1456.11136

MSC:  11K31 11B83 37B10
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