Darmaev, Tumen; Abiduev, Purbo Numerical analysis of the spectrum of plane-parallel flows. (English) Zbl 07835992 J. Math. Sci., New York 279, No. 6, 776-781 (2024). MSC: 76E05 76M99 × Cite Format Result Cite Review PDF Full Text: DOI
Borzov, V. V.; Damaskinsky, E. V. Calculation of the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials. (English. Russian original) Zbl 1534.33008 J. Math. Sci., New York 277, No. 4, 523-532 (2023); translation from Zap. Nauchn. Semin. POMI 493, 73-87 (2020). MSC: 33C45 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Sobolev, V. N.; Condratenko, A. E. Asymptotic expansions in the CLT containing the last known moment in the main part. (English) Zbl 1532.60045 J. Math. Sci., New York 271, No. 3, Series A, 300-309 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60E10 × Cite Format Result Cite Review PDF Full Text: DOI
Trigub, Roald M. On the best approximation of non-integer constants by polynomials with integer coefficients. (English) Zbl 1537.41020 J. Math. Sci., New York 274, No. 3, 403-421 (2023); and Ukr. Mat. Visn. 20, No. 2, 283-307 (2023). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 41A50 11N32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vinogradov, O. L. Nonsaturated estimates of the Kotelnikov formula error. (English. Russian original) Zbl 1518.94033 J. Math. Sci., New York 273, No. 4, 465-475 (2023); translation from Zap. Nauchn. Semin. POMI 499, 22-37 (2021). MSC: 94A20 41A17 41A45 41A50 42A38 42A20 × Cite Format Result Cite Review PDF Full Text: DOI
Andrianov, P. A. Discrete periodic multiresolution analysis. (English. Russian original) Zbl 1518.42047 J. Math. Sci., New York 273, No. 4, 455-464 (2023); translation from Zap. Nauchn. Semin. POMI 499, 7-21 (2021). MSC: 42C40 41A50 94A12 × Cite Format Result Cite Review PDF Full Text: DOI
Ulitskaya, A. Yu. Fourier analysis in spaces of shifts. (English) Zbl 1531.42007 J. Math. Sci., New York 266, No. 4, Series A, 603-614 (2022). MSC: 42A38 41A30 41A50 41A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vinogradov, O. L. On the constant in the estimate of deviation of Fejér averages in terms of best approximations. (English) Zbl 07798316 J. Math. Sci., New York 266, No. 4, Series A, 517-525 (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A50 41A44 26D10 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Trigub, R. M. On approximation of constants by polynomials with integer coefficients. (English) Zbl 1535.41017 J. Math. Sci., New York 266, No. 6, Series A, 959-966 (2022). Reviewer: Klaus Schiefermayr (Wels) MSC: 41A29 41A50 41A10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Vakarchuk, Sergii B. On estimates of diameter values of classes of functions in the weight space \(L_{2, \gamma } ( \mathbb{R}^2)\), \(\gamma = \exp(-x^2 - y^2)\). (English. Ukrainian original) Zbl 1528.41079 J. Math. Sci., New York 264, No. 4, 471-488 (2022); translation from Ukr. Mat. Visn. 19, No. 2, 275-298 (2022). MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Borzov, V. V.; Damaskinsky, E. V. Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator. (English. Russian original) Zbl 1519.33009 J. Math. Sci., New York 264, No. 3, 252-270 (2022); translation from Zap. Nauchn. Semin. POMI 494, 75-102 (2020). Reviewer: Roberto S. Costas-Santos (Sevilla) MSC: 33C80 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Babushkin, M. V. Estimates for constant in Jackson type inequality for periodic functions. (English. Russian original) Zbl 1507.42001 J. Math. Sci., New York 261, No. 6, 731-745 (2022); translation from Zap. Nauchn. Semin. POMI 491, 5-26 (2020). MSC: 42A10 41A17 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Gogin, N.; Hirvensalo, M. A Riemann hypothesis analog for the Krawtchouk and discrete Chebyshev polynomials. (English) Zbl 1489.11127 J. Math. Sci., New York 261, No. 5, 709-716 (2022) and Zap. Nauchn. Semin. POMI 507, 173-182 (2021). MSC: 11M26 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Babushkin, M. V.; Vinogradov, O. L. On constants in estimates of approximations by entire functions of exponential type in terms of moduli of continuity of derivatives. (English. Russian original) Zbl 1502.41003 J. Math. Sci., New York 261, No. 3, 353-365 (2022); translation from Probl. Mat. Anal. 114, 3-13 (2022). MSC: 41A17 30E10 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Trigub, Roald M. Relation between Fourier series and Wiener algebras. (English. Ukrainian original) Zbl 1469.42008 J. Math. Sci., New York 256, No. 6, 785-802 (2021); translation from Ukr. Mat. Visn. 18, No. 1, 80-103 (2021). MSC: 42A20 42A24 42B08 42B05 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhukov, V. T.; Feodoritova, O. B. On development of parallel algorithms for solving parabolic and elliptic equations. (English. Russian original) Zbl 1468.65132 J. Math. Sci., New York 254, No. 5, 606-624 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 155, 20-37 (2018). MSC: 65M55 65M06 65N06 65M22 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI
Serdyuk, Anatolii S.; Sokolenko, Igor V. Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness. (English. Ukrainian original) Zbl 1462.41013 J. Math. Sci., New York 252, No. 4, 526-540 (2021); translation from Ukr. Mat. Visn. 17, No. 3, 396-413 (2020). Reviewer: Richard A. Zalik (Auburn) MSC: 41A50 42A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shakirov, I. A. 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). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42A15 41A50 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Volosivets, S. S.; Tyuleneva, A. A. Estimates of best approximations of transformed Fourier series in \(L^p\)-norm and \(p\)-variational norm. (English. Russian original) Zbl 1454.42004 J. Math. Sci., New York 250, No. 3, 463-474 (2020); translation from Fundam. Prikl. Mat. 22, No. 1, 111-126 (2018). Reviewer: Hare Krishna Nigam (Gaya) MSC: 42A38 42A10 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Alimov, A. R. Bounded contractibility of strict suns in three-dimensional spaces. (English. Russian original) Zbl 1452.46010 J. Math. Sci., New York 250, No. 3, 385-390 (2020); translation from Fundam. Prikl. Mat. 22, No. 1, 3-11 (2018). Reviewer: Stefan Cobzaş (Cluj-Napoca) (MR3914355) MSC: 46B20 41A65 52A30 54C65 54C55 55M15 × Cite Format Result Cite Review PDF Full Text: DOI
Veselovska, Ol’ga V.; Dostoina, Veronika V. A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable. (English. Ukrainian original) Zbl 1450.30015 J. Math. Sci., New York 249, No. 5, 786-803 (2020); translation from Ukr. Mat. Visn. 17, No. 2, 256-277 (2020). MSC: 30C10 30B50 × Cite Format Result Cite Review PDF Full Text: DOI
Vlasyk, Hanna M.; Shkapa, Viktoriya V.; Zamrii, Iryna V. Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric. (English. Ukrainian original) Zbl 1448.42007 J. Math. Sci., New York 246, No. 1, 110-119 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 448-460 (2019). MSC: 42A10 41A30 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Christoph, G.; Monakhov, M. M.; Ulyanov, V. V. Second-order Chebyshev-Edgeworth and Cornish-Fisher expansions for distributions of statistics constructed from samples with random sizes. (English. Russian original) Zbl 1453.62378 J. Math. Sci., New York 244, No. 5, 811-839 (2020); translation from Zap. Nauchn. Semin. POMI 466, 167-207 (2017). MSC: 62E20 62P05 × Cite Format Result Cite Review PDF Full Text: DOI
Damaskinsky, E. V.; Sokolov, M. A. On differential operators for Chebyshev polynomials in several variables. (English. Russian original) Zbl 1479.42068 J. Math. Sci., New York 242, No. 5, 651-657 (2019); translation from Zap. Nauchn. Semin. POMI 473, 99-109 (2018). Reviewer: Edmundo J. Huertas (Madrid) MSC: 42C05 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, M. A. Criteria for the best approximation by simple partial fractions on semi-axis and axis. (English. Russian original) Zbl 1405.41018 J. Math. Sci., New York 235, No. 2, 168-181 (2018); translation from Probl. Mat. Anal. 94, 47-58 (2018). MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Radzievskaya, Elena Ivanovna On the uniform convergence of Fourier series to \((\psi,\beta)\)-derivatives. (English. Russian original) Zbl 1461.42003 J. Math. Sci., New York 235, No. 1, 46-51 (2018); translation from Ukr. Mat. Visn. 15, No. 1, 57-64 (2018). MSC: 42A20 42A10 41A50 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Kostin, V. A.; Nebol’sina, M. N. To the theory of \(C_0\)-operator orthogonal polynomials. (English. Russian original) Zbl 06970862 J. Math. Sci., New York 234, No. 3, 350-356 (2018); translation from Zap. Nauchn. Semin. POMI 456, 125-134 (2017). MSC: 47-XX 30-XX × Cite Format Result Cite Review PDF Full Text: DOI
Yanchenko, Sergii Ya. Order estimates of approximation characteristics of functions from the anisotropic Nikol’skii-Besov classes. (English. Ukrainian original) Zbl 1401.41015 J. Math. Sci., New York 234, No. 1, 98-105 (2018); translation from Ukr. Mat. Visn. 14, No. 4, 595-604 (2017). MSC: 41A25 41A50 41A63 42B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Il’in, V. P. Two-level least squares methods in Krylov subspaces. (English. Russian original) Zbl 1405.65045 J. Math. Sci., New York 232, No. 6, 892-902 (2018); translation from Zap. Nauchn. Semin. POMI 463, 224-239 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 65F22 65F50 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Jones, G. A. (ed.); Matiyasevich, Yu. (ed.); Zvonkin, A. (ed.) Proceedings of the conference “Embedded graphs”. (English) Zbl 1384.00120 J. Math. Sci., New York 226, No. 5, 547 (2017) and Zap. Nauchn. Semin. POMI 446, xx (2016). MSC: 00B25 05-06 × Cite Format Result Cite Review PDF Full Text: DOI
Dubinin, V. N. Critical values and moduli of the derivative of a complex polynomial at its zeros. (English. Russian original) Zbl 1380.30005 J. Math. Sci., New York 225, No. 6, 877-882 (2017); translation from Zap. Nauchn. Semin. POMI 449, 60-68 (2016). MSC: 30C10 31A15 × Cite Format Result Cite Review PDF Full Text: DOI
Babushkin, M. V.; Zhuk, V. V. Two-sided estimates for some functionals in terms of the best approximations. (English. Russian original) Zbl 1377.41016 J. Math. Sci., New York 225, No. 6, 848-858 (2017); translation from Zap. Nauchn. Semin. POMI 449, 15-31 (2016). MSC: 41A50 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Gogin, N.; Hirvensalo, M. On the generating function of discrete Chebyshev polynomials. (English) Zbl 1373.33017 J. Math. Sci., New York 224, No. 2, 250-257 (2017) and Zap. Nauchn. Semin. POMI 448, 124-134 (2016). MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Trigub, Roal’d Mikhailovich Polynomials with integer coefficients and Chebyshev polynomials. (English. Russian original) Zbl 1406.11024 J. Math. Sci., New York 222, No. 6, 797-818 (2017); translation from Ukr. Mat. Visn. 13, No. 3, 421-448 (2016). MSC: 11C08 26C05 × Cite Format Result Cite Review PDF Full Text: DOI
Babushkin, M. V.; Zhuk, V. V. Growth of norms in \(L_2\) of derivatives of the Steklov functions and properties defined by the best approximations and Fourier coefficients. (English. Russian original) Zbl 1365.41015 J. Math. Sci., New York 222, No. 5, 525-543 (2017); translation from Zap. Nauchn. Semin. POMI 445, 5-32 (2016). MSC: 41A50 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Lazovskaya, T. V.; Nagaev, S. V. Problems in calculating moments and distribution functions of ladder heights. (English) Zbl 1353.65011 J. Math. Sci., New York 218, No. 2, 195-207 (2016). MSC: 65C50 60F05 60E10 × Cite Format Result Cite Review PDF Full Text: DOI
Ulyanov, V. V.; Aoshima, M.; Fujikoshi, Y. Non-asymptotic results for Cornish-Fisher expansions. (English) Zbl 1353.62023 J. Math. Sci., New York 218, No. 3, 363-368 (2016). MSC: 62E17 62E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Senatov, V. V. On quasi-nonuniform estimates for asymptotic expansions in the central limit theorem. (English) Zbl 1387.60050 J. Math. Sci., New York 218, No. 3, 335-353 (2016). MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Malykhin, Yu. V. Asymptotic properties of Chebyshev splines with fixed number of knots. (English. Russian original) Zbl 1354.41011 J. Math. Sci., New York 218, No. 5, 647-663 (2016); translation from Fundam. Prikl. Mat. 19, No. 5, 143-166 (2014). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A25 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Magaril-Il’yaev, G. G.; Osipenko, K. Yu.; Sivkova, E. O. The best approximation of a set whose elements are known approximately. (English. Russian original) Zbl 1352.42005 J. Math. Sci., New York 218, No. 5, 636-646 (2016); translation from Fundam. Prikl. Mat. 19, No. 5, 127-141 (2014). MSC: 42A10 42A16 42A38 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Alimov, Alexey R.; Tsar’kov, I. G. Connectedness and other geometric properties of suns and Chebyshev sets. (English. Russian original) Zbl 1361.46012 J. Math. Sci., New York 217, No. 6, 683-730 (2016); translation from Fundam. Prikl. Mat. 19, No. 4, 21-91 (2014). MSC: 46B20 41A65 × Cite Format Result Cite Review PDF Full Text: DOI
Simonov, B. V.; Ivanyuk, V. A.; Simonova, I. E. Existence of best approximation elements in the spaces \(L_{\phi+\phi-}\). (English. Russian original) Zbl 1350.41041 J. Math. Sci., New York 217, No. 5, 639-659 (2016); translation from Sovrem. Mat. Prilozh. 96 (2015). MSC: 41A65 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Sokolov, M. A. Generating functions of Chebyshev polynomials in three variables. (English. Russian original) Zbl 1369.33019 J. Math. Sci., New York 213, No. 5, 786-794 (2016); translation from Zap. Nauchn. Semin. POMI 433, 246-259 (2015). MSC: 33C67 17B22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borzov, Vadim V.; Damaskinsky, E. V. Discrete spectrum of the Jacobi matrix related to recurrence relations with periodic coefficients. (English. Russian original) Zbl 1342.33018 J. Math. Sci., New York 213, No. 5, 694-705 (2016); translation from Zap. Nauchn. Semin. POMI 433, 111-130 (2015). MSC: 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kalmykov, Sergey I. On some rational functions that are analogs of the Chebyshev polynomials. (English. Russian original) Zbl 1355.30001 J. Math. Sci., New York 207, No. 6, 874-884 (2015); translation from Zap. Nauchn. Semin. POMI 429, 106-120 (2014). Reviewer: Alexander Tovstolis (Orlando) MSC: 30A10 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, M. A. An analog of the Haar condition for simple partial fractions. (English. Russian original) Zbl 1351.41023 J. Math. Sci., New York 208, No. 2, 174-180 (2015); translation from Probl. Mat. Anal. 80, 25-30 (2015). MSC: 41A52 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuk, V. V. On Jackson type inequalities for the best approximations of periodic functions. (English. Russian original) Zbl 1342.41018 J. Math. Sci., New York 210, No. 5, 654-663 (2015); translation from Probl. Mat. Anal. 82, 89-98 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A17 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Vinogradov, O. L. Improvement of Jackson type inequalities for moduli of continuity of order 4, 6, 8. (English. Russian original) Zbl 1331.41016 J. Math. Sci., New York 210, No. 5, 622-634 (2015); translation from Probl. Mat. Anal. 82, 59-70 (2015). MSC: 41A17 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Stasyuk, Sergei A. Approximations of the classes \(\mathbf{MB}_{p,\theta}^{r}\) of periodic functions of several variables by polynomials according to the Haar system. (English. Ukrainian original) Zbl 1342.41009 J. Math. Sci., New York 210, No. 1, 76-85 (2015); translation from Ukr. Mat. Visn. 12, No. 1, 97-109 (2015). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A10 41A63 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kochetkov, Yu. Yu. Chebyshev polynomials, Zolotarev polynomials, and plane trees. (English. Russian original) Zbl 1321.05120 J. Math. Sci., New York 209, No. 2, 275-281 (2015); translation from Fundam. Prikl. Mat. 18, No. 6, 161-170 (2013). MSC: 05C31 05C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vakarchuk, Sergei B.; Shabozov, Mirgand Sh.; Zabutnaya, Valentina I. Structural characteristics of functions from \(L_2\) and the exact values of widths of some functional classes. (English. Ukrainian original) Zbl 1323.41015 J. Math. Sci., New York 206, No. 1, 97-114 (2015); translation from Ukr. Mat. Visn. 11, No. 3, 417-441 (2014). MSC: 41A17 41A50 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuk, V. V.; Bure, V. M. Constants in Jackson type inequalities for the best approximation of periodic functions such that some of their Fourier coefficients vanish. (English. Russian original) Zbl 1326.41022 J. Math. Sci., New York 207, No. 2, 218-225 (2015); translation from Probl. Mat. Anal. 78, 95-102 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A17 41A50 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Gladkaya, A. V. Entire functions that have the smallest deviation from zero with respect to the uniform norm with a weight. (English. Russian original) Zbl 1307.30066 J. Math. Sci., New York 202, No. 4, 546-552 (2014); translation from Zap. Nauchn. Semin. POMI 416, 98-107 (2013). MSC: 30D20 × Cite Format Result Cite Review PDF Full Text: DOI
Lyakhov, L. N.; Nikitina, A. A. Extension of the notion of generalized convolution and estimate of the best approximation of weighted Liouville type operators. (English. Russian original) Zbl 1312.41027 J. Math. Sci., New York 202, No. 2, 200-214 (2014); translation from Probl. Mat. Anal. 76, 81-93 (2014). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 41A35 33C10 46F12 41A50 42B15 × Cite Format Result Cite Review PDF Full Text: DOI
Babushkin, M. V.; Zhuk, V. V. On the constants in generalized Jackson-type inequalities. (English. Russian original) Zbl 1315.41012 J. Math. Sci., New York 200, No. 5, 532-550 (2014); translation from Zap. Nauchn. Semin. POMI 418, 28-59 (2013). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A50 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Vinogradov, O. L. Sharp estimates of best approximations by deviations of Weierstrass-type integrals. (English. Russian original) Zbl 1302.41028 J. Math. Sci., New York 194, No. 6, 628-638 (2013); translation from Zap. Nauchn. Sem. POMI 401, 53-70 (2012). MSC: 41A44 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Borzov, V. V.; Damaskinsky, E. V. Differential equations for the elementary 3-symmetric Chebyshev polynomials. (English. Russian original) Zbl 1280.33007 J. Math. Sci., New York 192, No. 1, 37-49 (2013); translation from Zap. Nauchn. Semin. POMI 3982, 64-86 (2012). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C45 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Vakarchuk, Sergei B. On some extremal problems of approximation theory of functions on the real axis. II. (English. Russian original) Zbl 1275.41036 J. Math. Sci., New York 190, No. 4, 613-630 (2013); translation from Ukr. Mat. Visn. 9, No. 4, 578-602 (2012). MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, M. A. Sufficient condition for the best uniform approximation by simple partial fractions. (English. Russian original) Zbl 1281.41012 J. Math. Sci., New York 189, No. 3, 482-489 (2013); translation from Probl. Mat. Anal. 68, 133-139 (2013). Reviewer: Richard A. Zalik (Auburn) MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Daugavet, I. K. Interpolation by solutions to linear differential equations. (English. Russian original) Zbl 1322.34017 J. Math. Sci., New York 189, No. 3, 383-387 (2013); translation from Probl. Mat. Anal. 68, 45-50 (2013). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 34A30 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Vakarchuk, Sergei B. On some extremal problems of approximation theory of functions on the real axis. I. (English. Russian original) Zbl 1268.41023 J. Math. Sci., New York 188, No. 2, 146-166 (2013); translation from Ukr. Mat. Visn. 9, No. 3, 401-429 (2012). MSC: 41A50 41A17 × Cite Format Result Cite Review PDF Full Text: DOI
Nikabadze, M. U. Mathematical modelling of multilayer thin body deformation. (English. Russian original) Zbl 1322.74007 J. Math. Sci., New York 187, No. 3, 300-336 (2012); translation from Sovrem. Mat. Prilozh. 76 (2012). MSC: 74A50 × Cite Format Result Cite Review PDF Full Text: DOI
Starovoitow, Aleksandr P.; Starovoitowa, Natal’ya A.; Ryabchenko, Natal’ya V. Padé approximants of special functions. (English. Russian original) Zbl 1268.41010 J. Math. Sci., New York 187, No. 1, 77-85 (2012); translation from Ukr. Mat. Visn. 9, No. 2, 246-258 (2012). MSC: 41A21 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Vinogradov, O. L.; Zhuk, V. V. Estimates for functionals with a known finite set of moments in terms of deviations of operators constructed with the use of the Steklov averages and finite differences. (English. Russian original) Zbl 1262.41010 J. Math. Sci., New York 184, No. 6, 679-698 (2012); translation from Zap. Nauchn. Semin. POMI 392, 32-66 (2011). Reviewer: Radu Păltănea (Braşov) MSC: 41A17 41A25 41A44 41A45 41A50 41A10 26A15 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, M. A. Examples related to best approximation by simple partial fractions. (English. Russian original) Zbl 1259.41038 J. Math. Sci., New York 184, No. 4, 509-523 (2012); translation from Probl. Mat. Anal. 65, 119-131 (2012). MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Pritsker, Igor E. Polynomials with integer coefficients and their zeros. (English. Russian original) Zbl 1317.11106 J. Math. Sci., New York 183, No. 6, 810-822 (2012); translation from Ukr. Mat. Visn. 9, No. 1, 81-97 (2012). Reviewer: Chris Smyth (Edinburgh) MSC: 11R09 11C08 12D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kostin, V. A.; Nebolsina, M. N. Letter to the editors [Addendum to “\(C_{0}\)-operator orthogonal Chebyshev polynomials and their representations”]. (English. Russian original) Zbl 1272.47054 J. Math. Sci., New York 182, No. 5, 743 (2012); translation from Zap. Nauchn. Semin. POMI 389, 283 (2011). Reviewer: Leonid Golinskii (Kharkov) MSC: 47D60 47B36 × Cite Format Result Cite Review PDF Full Text: DOI
Proskurin, N. V. Computing the values of \(L\)-functions, and the Chebyshev polynomials. (English. Russian original) Zbl 1322.11090 J. Math. Sci., New York 179, No. 6, 726-728 (2011); translation from Zap. Nauchn. Semin. POMI 381, 163-166 (2011). MSC: 11M06 11R09 11Y35 × Cite Format Result Cite Review PDF Full Text: DOI
Komarov, M. A. Uniqueness of a simple partial fraction of best approximation. (English. Russian original) Zbl 1283.41022 J. Math. Sci., New York 175, No. 3, 284-308 (2011); translation from Probl. Mat. Anal. 56, 63-82 (2011). MSC: 41A50 30E99 × Cite Format Result Cite Review PDF Full Text: DOI
Kostin, V. A.; Nebolsina, M. N. \(C_{0}\)-operator orthogonal Chebyshev polynomials and their representations. (English. Russian original) Zbl 1229.47045 J. Math. Sci., New York 172, No. 2, 215-228 (2011); translation from Zap. Nauchn. Semin. POMI 376, 64-87 (2010); addendum J. Math. Sci., New York 182, No. 5, 743 (2012); translation from Zap. Nauchn. Semin. POMI 389, 283 (2011). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 47D60 × Cite Format Result Cite Review PDF Full Text: DOI
Alexeev, D. V. Neural-network approximation of functions of several variables. (English. Russian original) Zbl 1288.41003 J. Math. Sci., New York 168, No. 1, 5-13 (2010); translation from Fundam. Prikl. Mat. 15, No. 3, 9-21 (2009). MSC: 41A30 41A63 × Cite Format Result Cite Review PDF Full Text: DOI
Borzov, V. V.; Damaskinsky, E. V. Compound model of the generalized oscillator. I. (English. Russian original) Zbl 1288.81038 J. Math. Sci., New York 168, No. 6, 789-804 (2010); translation from Zap. Nauchn. Semin. POMI 374, 58-81 (2010). MSC: 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhuk, V. V. On approximation of periodic functions by Fourier sums. (English. Russian original) Zbl 1288.41006 J. Math. Sci., New York 166, No. 2, 167-185 (2010); translation from Zap. Nauchn. Semin. POMI 371, 78-108 (2009). MSC: 41A50 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Dodonov, N. Yu.; Zhuk, V. V. On approximation of periodic functions by Riesz sums. (English. Russian original) Zbl 1288.41004 J. Math. Sci., New York 166, No. 2, 134-144 (2010); translation from Zap. Nauchn. Semin. POMI 371, 18-36 (2009). MSC: 41A50 42A10 × Cite Format Result Cite Review PDF Full Text: DOI
Kolomoitsev, Yu. S. On approximation of functions by trigonometric polynomials with incomplete spectrum in \(L_p\), \({0<p<1}\). (English. Russian original) Zbl 1288.41005 J. Math. Sci., New York 165, No. 4, 463-472 (2010); translation from Zap. Nauchn. Semin. POMI 366, 67-83 (2009). MSC: 41A50 41A60 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kochetkov, Yu. Yu. Plane trees with nine edges. catalog. (English. Russian original) Zbl 1205.05051 J. Math. Sci., New York 158, No. 1, 114-140 (2009); translation from Fundam. Prikl. Mat. 13, No. 6, 159-195 (2007). MSC: 05C05 × Cite Format Result Cite Review PDF Full Text: DOI
Kochetkov, Yu. Yu. Geometry of plane trees. (English. Russian original) Zbl 1201.14024 J. Math. Sci., New York 158, No. 1, 106-113 (2009); translation from Fundam. Prikl. Mat. 13, No. 6, 149-158 (2007). MSC: 14H57 05C05 × Cite Format Result Cite Review PDF Full Text: DOI
Adrianov, N. M. On the generalized Chebyshev polynomials corresponding to plane trees of diameter 4. (English. Russian original) Zbl 1205.05047 J. Math. Sci., New York 158, No. 1, 11-21 (2009); translation from Fundam. Prikl. Mat. 13, No. 6, 19-33 (2007). MSC: 05C05 05C25 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Berestovskii, V. N.; Nikonorov, Yu. G. The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold. (English. Russian original) Zbl 1182.53045 J. Math. Sci., New York 161, No. 1, 97-121 (2009); translation from Sovrem. Mat. Prilozh. 60 (2008). MSC: 53C30 53C60 × Cite Format Result Cite Review PDF Full Text: DOI
Potapov, M. K.; Berisha, F. M. On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of order \(r\). (English. Russian original) Zbl 1178.41014 J. Math. Sci., New York 155, No. 1, 153-169 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 149-164 (2007). Reviewer: Gerlind Plonka (Duisburg) MSC: 41A30 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Oskolkov, K. I. Linear and nonlinear methods of relief approximation. (English. Russian original) Zbl 1195.41020 J. Math. Sci., New York 155, No. 1, 129-152 (2008); translation from Sovrem. Mat., Fundam. Napravl. 25, 126-148 (2007). Reviewer: Juri M. Rappoport (Moskva) MSC: 41A30 41A10 41A45 × Cite Format Result Cite Review PDF Full Text: DOI
Daugavet, I. K. Some classes of Chebyshev systems. (English. Russian original) Zbl 1202.41024 J. Math. Sci., New York 142, No. 1, 1763-1768 (2007); translation from Probl. Mat. Anal. 34, 35-38 (2006). MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Burago, Yu. D.; Ivanov, S. V.; Malev, S. G. Remarks on Chebyshev coordinates. (English. Russian original) Zbl 1151.53349 J. Math. Sci., New York 140, No. 4, 497-501 (2007); translation from Zap. Nauchn. Semin. POMI 329, 5-13 (2005). MSC: 53C45 53B21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML Link
Malyshev, C. L. Functional integration and correlators of \(Z\)-components of local spins in the \(XY\) and \(XX\) Heisenberg magnets. (English. Russian original) Zbl 1130.82008 J. Math. Sci., New York 125, No. 2, 215-228 (2005); translation from Zap. Nauchn. Semin. POMI 291, 206-227 (2002). MSC: 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Borzov, V. V.; Damaskinsky, E. V. Barut-Girardello coherent states for the Gegenbauer oscillator. (English. Russian original) Zbl 1068.81034 J. Math. Sci., New York 125, No. 2, 123-135 (2005); translation from Zap. Nauchn. Semin. POMI 291, 43-63 (2002). MSC: 81R30 33C05 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Vinogradov, O. L.; Zhuk, V. V. Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines. (English. Russian original) Zbl 1078.42001 J. Math. Sci., New York 124, No. 2, 4845-4857 (2004); translation from Zap. Nauchn. Semin. POMI 290, 5-26 (2002). MSC: 42A10 41A17 41A15 26A15 26D10 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Senatov, V. V. On estimation of the approximation error in asymptotic expansions in the central limit theorem. (English) Zbl 1013.60014 J. Math. Sci., New York 112, No. 2, 4174-4197 (2002). Reviewer: Nikolai N.Leonenko (Cardiff) MSC: 60F05 60F99 × Cite Format Result Cite Review PDF Full Text: DOI
Senatov, V. V. The Chebyshev-Hermite moments and their applications to asymptotic expansions. (English) Zbl 0999.60025 J. Math. Sci., New York 106, No. 2, 2873-2889 (2001). Reviewer: Wiesław Dziubdziela (Kielce) MSC: 60F05 × Cite Format Result Cite Review PDF Full Text: DOI
Dudov, S. I. On the generalized gradient of the distance function. (English. Russian original) Zbl 1021.49014 J. Math. Sci., New York 100, No. 6, 2593-2600 (2000); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 61, 5-14 (1999). Reviewer: S.Tersian (Russe) MSC: 49J52 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Dolzhenko, E. P.; Sevast’yanov, E. A. Sign-sensitive approximations. (English) Zbl 0911.41018 J. Math. Sci., New York 91, No. 5, 3205-3257 (1998). Reviewer: Shi Ying-Guang (Beijing) MSC: 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kochetkov, Yu. Yu. Plane trees, cartographical groups, and Chebyshev polynomials. (English) Zbl 0913.14006 J. Math. Sci., New York 88, No. 4, 545-558 (1998). Reviewer: F.Herrlich (Karlsruhe) MSC: 14H25 05C10 11R32 33C99 14N10 × Cite Format Result Cite Review PDF Full Text: DOI
Vinogradov, O. L. Sharp inequality for deviation of Rogosinski sums and the second modulus of continuity in the space of periodic continuous functions. (English. Russian original) Zbl 0974.42001 J. Math. Sci., New York 101, No. 3, 3060-3072 (2000); translation from Zap. Nauchn. Semin. POMI 247, 26-45 (1997). Reviewer: A.B.Németh (Cluj-Napoca) MSC: 42A10 41A17 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Petukhov, A. P. On best-approximation polynomials in the Hausdorff metric. (English. Russian original) Zbl 0908.41015 J. Math. Sci., New York 85, No. 2, 1839-1848 (1997); translation from Zap. Nauchn. Semin. POMI 217, 130-143 (1994). MSC: 41A50 41A10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Vasilenko, Ya. F.; Chemeris, V. S. Stokes problem and Muskhelishvili integral equations. (English. Russian original) Zbl 0835.65137 J. Math. Sci., New York 69, No. 6, 1424-1429 (1994); translation from Vychisl. Prikl. Mat., Kiev 68, 69-76 (1989). MSC: 65Z05 65N38 65R20 35Q30 76D07 45E05 × Cite Format Result Cite Review PDF Full Text: DOI
Gulevich, N. M. The measure of nonconvexity and the Jung constant. (English. Russian original) Zbl 0852.46011 J. Math. Sci., New York 81, No. 2, 2562-2569 (1996); translation from Zap. Nauchn. Semin. POMI 208, 174-181 (1993). MSC: 46B20 47H09 × Cite Format Result Cite Review PDF
Dolgin, V. P. Dynamic diagnostics of mechanical manufacturing systems. (English. Russian original) Zbl 0872.70001 J. Math. Sci., New York 82, No. 2, 3316-3319 (1996); translation from Din. Sist. (Kiev) 11, 43-47 (1992). MSC: 70-08 70B15 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Khapko, R. S. Numerical solutions of the first boundary-value problem for the telegraph equation on open contours. (English. Russian original) Zbl 0837.65112 J. Math. Sci., New York 71, No. 4, 2581-2585 (1994); translation from Vychisl. Prikl. Mat. 72, 57-62 (1990). MSC: 65M70 65R20 35L15 35A22 × Cite Format Result Cite Review PDF Full Text: DOI