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Found 234 Documents (Results 1–100)

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
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Solutions of the discrete nonlinear Schrödinger equation with a trap. (English. Russian original) Zbl 1441.81088

Theor. Math. Phys. 201, No. 3, 1771-1778 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 415-423 (2019).
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Quantum problem of polaron localization and justification of the Su-Schrieffer-Heeger approximation. (English. Russian original) Zbl 1434.82047

Theor. Math. Phys. 199, No. 2, 719-725 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 283-290 (2019).
MSC:  82C20 82D20
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Entire functions of least deviation from zero in generalized Orlicz classes. (English. Russian original) Zbl 1426.30018

St. Petersbg. Math. J. 30, No. 2, 219-230 (2019); translation from Algebra Anal. 30, No. 2, 97-113 (2018).
MSC:  30D15 41A50 30D60
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Integral characteristics of wave packets in the problem of the evolution of a wave function on a one-dimensional lattice. (English. Russian original) Zbl 1411.82023

Theor. Math. Phys. 197, No. 2, 1615-1625 (2018); translation from Teor. Mat. Fiz. 197, No. 2, 257-268 (2018).
MSC:  82C20 82C70
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Sharp estimates of linear approximations by nonperiodic splines in terms of linear combinations of moduli of continuity. (English. Russian original) Zbl 1401.41012

J. Math. Sci., New York 234, No. 3, 303-317 (2018); translation from Zap. Nauchn. Semin. POMI 456, 55-76 (2017).
MSC:  41A15 41A17
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The Green’s function in the problem of charge dynamics on a one-dimensional lattice with an impurity center. (English. Russian original) Zbl 1401.82034

Theor. Math. Phys. 196, No. 1, 1018-1027 (2018); translation from Teor. Mat. Fiz. 196, No. 1, 88-98 (2018).
MSC:  82C70 35J08
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A nonperiodic spline analog of the Akhiezer-Krein-Favard operators. (English. Russian original) Zbl 1355.41007

J. Math. Sci., New York 217, No. 1, 3-22 (2016); translation from Zap. Nauchn. Semin. POMI 440, 8-35 (2015).
MSC:  41A15
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Effect of the slot filter structure on the hydraulic resistance. (English. Russian original) Zbl 1325.76184

Fluid Dyn. 50, No. 4, 463-470 (2015); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2015, No. 4, 3-10 (2015).
MSC:  76S05
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Entire functions that deviate least from zero in the uniform and the integral metrics with a weight. (English. Russian original) Zbl 1332.30058

St. Petersbg. Math. J. 26, No. 6, 867-879 (2015); translation from Algebra Anal. 26, No. 6, 10-28 (2014).
MSC:  30E10 30D20 41A50
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Estimates of functionals by the second modulus of continuity of even derivatives. (English. Russian original) Zbl 1312.41018

J. Math. Sci., New York 202, No. 4, 526-540 (2014); translation from Zap. Nauchn. Semin. POMI 416, 70-90 (2013).
MSC:  41A17 41A25
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Estimates for functionals with a known finite set of moments in terms of high order moduli of continuity in spaces of functions defined on a segment. (English. Russian original) Zbl 1305.41015

St. Petersbg. Math. J. 25, No. 3, 421-446 (2014); translation from Algebra Anal. 25, No. 3, 86-120 (2013).
MSC:  41A15 41A17 41A35
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Linear methods in the proof of Jackson type inequalities and applications to estimates of functionals with two known moments. (English. Russian original) Zbl 1302.41017

J. Math. Sci., New York 196, No. 4, 498-514 (2014); translation from Probl. Mat. Anal. 74, 51-56 (2013).
MSC:  41A17 41A44
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Jackson type inequalities for deviations of the Riesz averages and applications to estimates of functionals with two known moments. (English. Russian original) Zbl 1301.41012

J. Math. Sci., New York 198, No. 6, 684-700 (2014); translation from Probl. Mat. Anal. 75, 27-40 (2014).
MSC:  41A17
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Selected works. Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday. Edited by L. D. Faddeev, R. V. Gamkrelidze, A. A. Karatsuba, K. K. Mardzhanishvili, E. F. Mishchenko and Yu. A. Bakhturin. Reprint of the 1985 edition. (English) Zbl 1293.01035

Springer Collected Works in Mathematics. Berlin: Springer (ISBN 978-3-642-55380-6/pbk). viii; 401 p. (2014).
MSC:  01A75 11-03
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“electron ping-pong” on a one-dimensional lattice: multiple reflections of the wave packet and capture of the wave function by an acceptor. (English. Russian original) Zbl 1286.81067

Theor. Math. Phys. 176, No. 2, 1087-1099 (2013); translation from Teor. Mat. Fiz. 176, No. 2, 306-321 (2013).
MSC:  81Q05 81Q37 82C70
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“Electron ping-pong” on a one-dimensional lattice: wave packet motion up to the first reflection. (English. Russian original) Zbl 1286.81092

Theor. Math. Phys. 175, No. 2, 681-698 (2013); translation from Teor. Mat. Fiz. 175, No. 2, 279-299 (2013).
MSC:  81Q35
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Estimates for functionals with a known, finite set of moments, in terms of moduli of continuity, and behavior of constants, in the Jackson-type inequalities. (English. Russian original) Zbl 1275.41016

St. Petersbg. Math. J. 24, No. 5, 691-721 (2013); translation from Algebra Anal. 24, No. 5, 1-43 (2012).
MSC:  41A17
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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).
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The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus. (English. Russian original) Zbl 1303.41007

J. Math. Sci., New York 178, No. 2, 132-143 (2011); translation from Zap. Nauchn. Semin. POMI 383, 33-52 (2010).
MSC:  41A17 41A25
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Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means. (English. Russian original) Zbl 1303.41006

J. Math. Sci., New York 178, No. 2, 115-131 (2011); translation from Zap. Nauchn. Semin. POMI 383, 5-32 (2010).
MSC:  41A17 26D15
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Identification of a source of oceanic ring waves near Darwin’s Island based on space photos. (English. Russian original) Zbl 1319.94014

J. Comput. Syst. Sci. Int. 50, No. 1, 67-80 (2011); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2011, No. 1, 70-83 (2011).
MSC:  94A08 86A05
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On the explicit parametric description of waves in periodic media. (Russian, English) Zbl 1187.78038

Zh. Vychisl. Mat. Mat. Fiz. 49, No. 6, 1119-1130 (2009); translation in Comput. Math., Math. Phys. 49, No. 6, 1069-1079 (2009).
MSC:  78A48
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Differential invariants of generic hyperbolic Monge-Ampère equations. (English. Russian original) Zbl 1133.35407

Dokl. Math. 72, No. 3, 883-885 (2005); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 405, No. 3, 299-301 (2005).
MSC:  35L70 35A30
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Garal’d Isidorovich Natanson. (English. Russian original) Zbl 1100.01512

Uraltseva, N.N.(ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. X. Transl. from the Russian by Tamara Rozhkovskaya. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3861-X/hbk). Translations. Series 2. American Mathematical Society 214, 237-252 (2005); translation from Tr. St-Peterbg. Mat. Obshch. 10, 249-264 (2004).
MSC:  01A70
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Sharp Jackson-type inequalities for linear methods of spline approximations of differentiable functions. (English) Zbl 1103.42002

Skopina, M. (ed.), International conference on wavelets and splines, St. Petersburg, Russia, July 3–8, 2003. Proceedings. St. Petersburg: St. Petersburg University Press (ISBN 5-288-03733-7/pbk). 134-143 (2005).
MSC:  42A10 41A15
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Extensions to the Jackson-type and Landau-Kolmogorov-type sharp inequalities for derivatives of low order. (English. Russian original) Zbl 1096.41012

Vestn. St. Petersbg. Univ., Math. 36, No. 4, 8-16 (2003); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2003, No. 4, 11-19 (2003).
MSC:  41A17 41A10
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Estimates of errors of quadrature formulas by linear combinations of the uniform norm and oscillation of derivatives with both sharp constants. (English. Russian original) Zbl 1050.26022

J. Math. Sci., New York 117, No. 3, 4065-4095 (2003); translation from Probl. Mat. Anal. 26, 3-46 (2003).
MSC:  26D15 41A55 65D32
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Sharp estimates for deviations of linear approximation methods for periodic functions by linear combinations of moduli of continuity of different order. (English. Russian original) Zbl 1050.41018

J. Math. Sci., New York 114, No. 5, 1628-1656 (2003); translation from Probl. Mat. Anal. 25, 57-97 (2003).
MSC:  41A45 41A15
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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).
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Sharp estimates for the norms of differences in terms of the norms of the derivatives and the best majorants of moduli of continuity of periodic functions. (English. Russian original) Zbl 1050.41011

J. Math. Sci., New York 112, No. 1, 3967-3991 (2002); translation from Probl. Mat. Anal. 24, 61-94 (2002).
MSC:  41A17 26A15 26A24
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Sharp Jackson type inequalities for differentiable functions and minimization of the step of the moduli of continuity. (English) Zbl 1018.41011

Uraltseva, N. N., Proceedings of the St. Petersburg Mathematical Society. Vol. VIII. Transl. from the Russian by Tamara Rozhkovskaya. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 205, 23-42 (2002).
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Sharp inequalities of Jackson and Kolmogorov for the best uniform approximation and for integral modulus of continuity. (English. Russian original) Zbl 1067.41007

Vestn. St. Petersbg. Univ., Math. 34, No. 1, 1-6 (2001); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2001, No. 1, 3-9 (2001).
MSC:  41A17 41A50
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Adaptive high-performance method for numerical simulation of unsteady complex flows with number of strong and weak discontinuities. (English) Zbl 0982.68916

Alexandrov, Vassil N. (ed.) et al., Computational Science - ICCS 2001. International conference, San Francisco, CA, USA, May 28-30, 2001. Proceedings. Part 1. Berlin: Springer. Lect. Notes Comput. Sci. 2073, 511-517 (2001).
MSC:  68U99 68U20
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Sharp estimates for the deviation of the mean value of a periodic function in terms of moduli of continuity of higher order. (English. Russian original) Zbl 0992.42001

J. Math. Sci., New York 106, No. 3, 2901-2918 (2001); translation from Probl. Mat. Anal. 22, 3-26 (2001).
MSC:  42A10
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Exact inequalities connected with estimates for approximations of periodic functions by continuity moduli of the derivatives of odd orders with various steps. (Russian, English) Zbl 1060.41502

Probl. Mat. Anal. 19, 69-88 (1999); translation in J. Math. Sci., New York 101, No. 2, 2914-2929 (2000).
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Jackson-type exact inequalities in the uniform metric for functions represented as a convolution. (English. Russian original) Zbl 1043.41013

Dokl. Math. 62, No. 1, 63-65 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 373, No. 4, 442-444 (2000).
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Estimates for the deviation of the mean-value of a function by the moduli of continuity of its odd derivatives with the smallest constant and step. (English. Russian original) Zbl 1043.42002

Vestn. St. Petersbg. Univ., Math. 33, No. 3, 16-22 (2000); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2000, Nr. 3, 22-29 (2000).
MSC:  42A16 41A55 65D32
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Sharp estimates for errors of numerical differentiation type formulas on trigonometric polynomials. (English. Russian original) Zbl 0987.65025

J. Math. Sci., New York 105, No. 5, 2347-2376 (2001); translation from Probl. Mat. Anal. 21, 68-109 (2000).
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On a conjecture of B. Jørgensen and A. D. Wentzell: From extreme stable laws to Tweedie exponential dispersion models. (English) Zbl 1054.62571

Gorostiza, Luis G. (ed.) et al., Stochastic models. Proceedings of the international conference, in honour of Prof. Donald A. Dawson, Ottawa, Canada, June 10–13, 1998. Providence, RI: AMS, American Mathematical Society for the Canadian Mathematical Society (ISBN 0-8218-1063-4). CMS Conf. Proc. 26, 435-443 (2000).
MSC:  62J99 60E07 60F05
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On the precision of a representation of the Steklov means of functions of two variables by means of singular integrals. (English. Russian original) Zbl 1043.42004

Vestn. St. Petersbg. Univ., Math. 32, No. 4, 9-17 (1999); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 4, 13-21 (1999).
MSC:  42B05 26B30 42B08
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The estimated accuracy of representation of functions of two variables by singular integrals via the mixed moduli of continuity of their primitives. (English. Russian original) Zbl 1043.42006

Vestn. St. Petersbg. Univ., Math. 32, No. 2, 16-23 (1999); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1999, No. 2, 20-27 (1999).
MSC:  42B08
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Segmentation and identification of handwritten digits via numerical modelling based on precedence. (English) Zbl 1003.68700

Radig, B. (ed.) et al., Pattern recognition and image understanding. 5th open German-Russian workshop, Herrsching, Germany, September 21-25, 2000. Amsterdam: IOS Press. 284-289 (1999).
MSC:  68U99 68T10
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Symmetries and conservation laws for differential equations of mathematical physics. Transl. from the Russian by A. M. Verbovetsky and I. S. Krasil’shchik. (English) Zbl 0911.00032

Translations of Mathematical Monographs. 182. Providence, RI: American Mathematical Society (AMS). xiv, 333 p. (1999).
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