Edit Profile Zhuk, Vladimir Vasil’evich Compute Distance To: Compute Author ID: zhuk.vladimir-vasilievich Published as: Zhuk, V.; Zhuk, V. V.; Zhuk, Vladimir; Zhuk, Vladimir Vasilievich; Zuk, V. V. Homepage: http://www.math.spbu.ru/analysis/members/zhuk/ External Links: MGP · Math-Net.Ru · Wikidata · ORCID Documents Indexed: 167 Publications since 1965, including 4 Books all top 5 Co-Authors 85 single-authored 27 Natanson, Garal’d Isidorovich 27 Vinogradov, Oleg Leonidovich 9 Dodonov, N. Yu. 6 Babushkin, Max V. 4 Bure, Vladimir M. 2 Dron’, Vera O. 2 Khavin, Viktor Petrovich 2 Pudovkin, A. A. 2 Zhuk, A. S. 1 Faĭnshmidt, V. L. 1 Goluzina, E. G. 1 Iljina, Anna V. 1 Kuźmina, Galina Vasil’evna 1 Kuzyutin, V. F. 1 Malozemov, Vasily Nikolaevich 1 Petrosyan, Leon Aganesovich 1 Pimenov, S. Yu. 1 Puerov, G. Yu. 1 Shirokov, Nikolaĭ Alekseevich 1 Tumka, Oleg A. 1 Yeung, David Wing-Kay all top 5 Serials 34 Journal of Mathematical Sciences (New York) 29 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 24 Vestnik Leningrad University. Mathematics 11 Soviet Mathematics. Doklady 11 Vestnik St. Petersburg University. Mathematics 10 Problemy Matematicheskogo Analiza 5 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 3 Mathematical Notes 3 Zapiski Nauchnykh Seminarov POMI 3 Doklady Mathematics 2 Matematicheskie Zametki 2 Siberian Mathematical Journal 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 2 Russian Academy of Sciences. Doklady. Mathematics 2 St. Petersburg Mathematical Journal 2 Matematicheskiĭ Zhurnal 2 Voprosy Mekhaniki i Protsessov Upravleniya 1 Analysis Mathematica 1 Russian Mathematical Surveys 1 Studia Scientiarum Mathematicarum Hungarica 1 Vestnik Sankt-Peterburgskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva all top 5 Fields 107 Approximations and expansions (41-XX) 90 Harmonic analysis on Euclidean spaces (42-XX) 17 Real functions (26-XX) 8 Numerical analysis (65-XX) 5 Functional analysis (46-XX) 4 History and biography (01-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 54 Publications have been cited 180 times in 107 Documents Cited by ▼ Year ▼ Approximation of periodic functions. (Approksimatsiya periodicheskikh funktsij). Zbl 0521.42003Zhuk, V. V. 44 1982 Approximation of functions and numerical integration. Zbl 0942.41500Zhuk, V. V.; Kuzyutin, V. F. 15 1995 Trigonometrical Fourier series and elements of approximation theory. Textbook. (Trigonometricheskie ryady Fur’e i ehlementy teorii approksimatsii. Uchebnoe posobie). Zbl 0535.42010Zhuk, V. V.; Natanson, G. I. 14 1983 Functions of class Lip 1 and S. N. Bernstein polynomials. Zbl 0667.41004Zhuk, V. V. 11 1989 Some sharp inequalities between best approximations and moduli of continuity. Zbl 0231.42004Zhuk, V. V. 8 1971 Sharp estimates for deviations of linear approximation methods for periodic functions by linear combinations of moduli of continuity of different order. Zbl 1050.41018Vinogradov, O. L.; Zhuk, V. V. 6 2003 Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means. Zbl 1303.41006Vinogradov, O. L.; Zhuk, V. V. 5 2011 Some orthogonalities in approximation theory. Zbl 1127.42005Zhuk, A. S.; Zhuk, V. V. 5 2004 On approaching the differentiable periodic functions by linear methods. Zbl 0412.42003Zhuk, V. V.; Natanson, G. I. 5 1977 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. Zbl 1275.41016Vinogradov, O. L.; Zhuk, V. V. 4 2013 Strong approximation of periodic functions. Zbl 0721.42002Zhuk, V. V. 3 1989 On the theory of cubic periodic splines with equidistant nodes. Zbl 0531.41010Zhuk, V. V.; Natanson, G. I. 3 1984 Approximation of periodic functions by Fejer’s sums and the de la Vallee- Poussin integral. Zbl 0288.41013Zhuk, V. V. 3 1974 Some sharp inequalities between uniform best approximations of periodic functions. Zbl 0239.42003Zhuk, V. V. 3 1971 The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus. Zbl 1303.41007Vinogradov, O. L.; Zhuk, V. V. 2 2011 Approximation of periodic functions by Steklov averages in \(L_{2}\). Zbl 1202.41021Dron’, V. O.; Zhuk, V. V. 2 2007 On approximate characteristics of functions of many variables occurring in saturation classes of continuity moduli of different orders. Zbl 1114.41014Dodonov, N. Yu.; Zhuk, V. V. 2 2006 On the approximation of periodic functions by linear approximation methods. Zbl 1125.42003Zhuk, A. S.; Zhuk, V. V. 2 2006 Uniform approximation of nonperiodic functions defined on the entire axis. Zbl 1099.41021Dodonov, N. Yu.; Zhuk, V. V. 2 2004 On uniform approximation in \(\mathbb R^2\) of continuous functions of two variables with bounded variation in the sense of Hardy. Zbl 1099.41015Dodonov, N. Yu.; Zuk, V. V. 2 2004 Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines. Zbl 1078.42001Vinogradov, O. L.; Zhuk, V. V. 2 2002 Seminorms and moduli of continuity of higher orders. Zbl 0981.42500Zhuk, V. V. 2 1993 On the question of approximation of functions by means of positive operators. Zbl 0436.41011Zhuk, V.; Natanson, G. 2 1977 On the problem of constants in direct theorems of the approximation theory for differentiable functions. Zbl 0362.41013Zhuk, V. V. 2 1976 On the representation of a periodic function by a bounded semiadditive operator. Zbl 0167.05201Zhuk, V. V. 2 1966 Voronovskaya-Bernstein type asymptotic formulas in strong form. Zbl 1357.41017Zhuk, V. V.; Babushkin, Max V.; Pudovkin, A. A. 1 2016 Some inequalities for trigonometric polynomials and Fourier coefficients. Zbl 1337.42001Zhuk, V. V.; Puerov, G. Yu. 1 2015 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. Zbl 1305.41015Vinogradov, O. L.; Zhuk, V. V. 1 2014 Linear methods in the proof of Jackson type inequalities and applications to estimates of functionals with two known moments. Zbl 1302.41017Vinogradov, O. L.; Zhuk, V. V. 1 2014 Jackson type inequalities for deviations of the Riesz averages and applications to estimates of functionals with two known moments. Zbl 1301.41012Vinogradov, O. L.; Zhuk, V. V. 1 2014 Estimates for the best approximations of a periodic function by linear combinations of values of the function and its primitives. Zbl 1282.42004Zhuk, V. V. 1 2013 Inequalities of the type of the generalized Jackson theorem for the best approximations. Zbl 1280.41014Zhuk, V. V. 1 2013 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. Zbl 1262.41010Vinogradov, O. L.; Zhuk, V. V. 1 2012 Estimates for functionals by deviations of the Riesz sums in seminormed spaces. Zbl 1205.41027Dodonov, N. Yu.; Zhuk, V. V. 1 2009 Extensions to the Jackson-type and Landau-Kolmogorov-type sharp inequalities for derivatives of low order. Zbl 1096.41012Vinogradov, O. L.; Zhuk, V. V. 1 2003 Estimates of errors of quadrature formulas by linear combinations of the uniform norm and oscillation of derivatives with both sharp constants. Zbl 1050.26022Vinogradov, O. L.; Zhuk, V. V. 1 2003 Seminorms and continuity modules for functions defined on a segment. Zbl 1071.41008Zhuk, V. V.; Natanson, G. I. 1 2001 Sharp estimates for the deviation of the mean value of a periodic function in terms of moduli of continuity of higher order. Zbl 0992.42001Vinogradov, O. L.; Zhuk, V. V. 1 2001 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. Zbl 1043.42002Vinogradov, O. L.; Zhuk, V. V. 1 2000 Approximation of functions on standard simplexes. Zbl 0928.41003Zhuk, V. V.; Natanson, G. I. 1 1996 Functions of class Lip 1 and S. N. Bernstein polynomials. Zbl 0723.41006Zhuk, V. V. 1 1989 Some remarks on periodic equidistant splines. Zbl 0586.41008Zhuk, V. V.; Natanson, G. I. 1 1985 On the theory of cubic periodic splines with equidistant nodes. Zbl 0549.41011Zhuk, V. V.; Natanson, G. I. 1 1984 On a certain approximation method. Zbl 0481.42003Zhuk, V. V. 1 1981 On constants in direct problems of approximation theory. Zbl 0431.42002Zhuk, V. V.; Natanson, G. I. 1 1980 On the question of the approximation of functions defined on a closed interval in the integral metric. Zbl 0429.41028Zhuk, V. V.; Natanson, G. I. 1 1979 Über die Approximation stetiger periodischer Funktionen durch lineare Methoden der Summation von Fourierreihen. Zbl 0304.41013Zhuk, V. V. 1 1974 Über gewisse genaue Ungleichungen zwischen den besten Approximationen und Stetigkeitsmoduln. Zbl 0275.41012Zhuk, V. V. 1 1974 Some sharp inequalities between best approximations and moduli of continuity. Zbl 0243.42001Zhuk, V. V. 1 1972 Saturation theory converse problem. Zbl 0194.09201Zhuk, V. V.; Natanson, G. I. 1 1969 Über die Ordnung der Approximation einer stetigen \(2\pi\)-periodischen Funktion nach linearen Methoden. Zbl 0188.13301Zhuk, V. V. 1 1969 Approximation of periodic functions by linear methods of summing their Fourier series. Zbl 0193.02904Zhuk, V. V. 1 1967 Über die Approximation einer \(2\pi\)-periodischen Funktion durch die Werte eines gewissens beschränkten halbadditiven Operators. II. Zbl 0172.34602Zhuk, V. V. 1 1967 Some modifications of the concept of modulus of smoothness and their applications. Zbl 0147.05503Zhuk, V. V. 1 1965 Voronovskaya-Bernstein type asymptotic formulas in strong form. Zbl 1357.41017Zhuk, V. V.; Babushkin, Max V.; Pudovkin, A. A. 1 2016 Some inequalities for trigonometric polynomials and Fourier coefficients. Zbl 1337.42001Zhuk, V. V.; Puerov, G. Yu. 1 2015 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. Zbl 1305.41015Vinogradov, O. L.; Zhuk, V. V. 1 2014 Linear methods in the proof of Jackson type inequalities and applications to estimates of functionals with two known moments. Zbl 1302.41017Vinogradov, O. L.; Zhuk, V. V. 1 2014 Jackson type inequalities for deviations of the Riesz averages and applications to estimates of functionals with two known moments. Zbl 1301.41012Vinogradov, O. L.; Zhuk, V. V. 1 2014 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. Zbl 1275.41016Vinogradov, O. L.; Zhuk, V. V. 4 2013 Estimates for the best approximations of a periodic function by linear combinations of values of the function and its primitives. Zbl 1282.42004Zhuk, V. V. 1 2013 Inequalities of the type of the generalized Jackson theorem for the best approximations. Zbl 1280.41014Zhuk, V. V. 1 2013 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. Zbl 1262.41010Vinogradov, O. L.; Zhuk, V. V. 1 2012 Estimates for functionals with a known moment sequence in terms of deviations of Steklov type means. Zbl 1303.41006Vinogradov, O. L.; Zhuk, V. V. 5 2011 The rate of decrease of constants in Jackson type inequalities in dependence of the order of the continuity modulus. Zbl 1303.41007Vinogradov, O. L.; Zhuk, V. V. 2 2011 Estimates for functionals by deviations of the Riesz sums in seminormed spaces. Zbl 1205.41027Dodonov, N. Yu.; Zhuk, V. V. 1 2009 Approximation of periodic functions by Steklov averages in \(L_{2}\). Zbl 1202.41021Dron’, V. O.; Zhuk, V. V. 2 2007 On approximate characteristics of functions of many variables occurring in saturation classes of continuity moduli of different orders. Zbl 1114.41014Dodonov, N. Yu.; Zhuk, V. V. 2 2006 On the approximation of periodic functions by linear approximation methods. Zbl 1125.42003Zhuk, A. S.; Zhuk, V. V. 2 2006 Some orthogonalities in approximation theory. Zbl 1127.42005Zhuk, A. S.; Zhuk, V. V. 5 2004 Uniform approximation of nonperiodic functions defined on the entire axis. Zbl 1099.41021Dodonov, N. Yu.; Zhuk, V. V. 2 2004 On uniform approximation in \(\mathbb R^2\) of continuous functions of two variables with bounded variation in the sense of Hardy. Zbl 1099.41015Dodonov, N. Yu.; Zuk, V. V. 2 2004 Sharp estimates for deviations of linear approximation methods for periodic functions by linear combinations of moduli of continuity of different order. Zbl 1050.41018Vinogradov, O. L.; Zhuk, V. V. 6 2003 Extensions to the Jackson-type and Landau-Kolmogorov-type sharp inequalities for derivatives of low order. Zbl 1096.41012Vinogradov, O. L.; Zhuk, V. V. 1 2003 Estimates of errors of quadrature formulas by linear combinations of the uniform norm and oscillation of derivatives with both sharp constants. Zbl 1050.26022Vinogradov, O. L.; Zhuk, V. V. 1 2003 Sharp Kolmogorov-type inequalities for moduli of continuity and best approximations by trigonometric polynomials and splines. Zbl 1078.42001Vinogradov, O. L.; Zhuk, V. V. 2 2002 Seminorms and continuity modules for functions defined on a segment. Zbl 1071.41008Zhuk, V. V.; Natanson, G. I. 1 2001 Sharp estimates for the deviation of the mean value of a periodic function in terms of moduli of continuity of higher order. Zbl 0992.42001Vinogradov, O. L.; Zhuk, V. V. 1 2001 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. Zbl 1043.42002Vinogradov, O. L.; Zhuk, V. V. 1 2000 Approximation of functions on standard simplexes. Zbl 0928.41003Zhuk, V. V.; Natanson, G. I. 1 1996 Approximation of functions and numerical integration. Zbl 0942.41500Zhuk, V. V.; Kuzyutin, V. F. 15 1995 Seminorms and moduli of continuity of higher orders. Zbl 0981.42500Zhuk, V. V. 2 1993 Functions of class Lip 1 and S. N. Bernstein polynomials. Zbl 0667.41004Zhuk, V. V. 11 1989 Strong approximation of periodic functions. Zbl 0721.42002Zhuk, V. V. 3 1989 Functions of class Lip 1 and S. N. Bernstein polynomials. Zbl 0723.41006Zhuk, V. V. 1 1989 Some remarks on periodic equidistant splines. Zbl 0586.41008Zhuk, V. V.; Natanson, G. I. 1 1985 On the theory of cubic periodic splines with equidistant nodes. Zbl 0531.41010Zhuk, V. V.; Natanson, G. I. 3 1984 On the theory of cubic periodic splines with equidistant nodes. Zbl 0549.41011Zhuk, V. V.; Natanson, G. I. 1 1984 Trigonometrical Fourier series and elements of approximation theory. Textbook. (Trigonometricheskie ryady Fur’e i ehlementy teorii approksimatsii. Uchebnoe posobie). Zbl 0535.42010Zhuk, V. V.; Natanson, G. I. 14 1983 Approximation of periodic functions. (Approksimatsiya periodicheskikh funktsij). Zbl 0521.42003Zhuk, V. V. 44 1982 On a certain approximation method. Zbl 0481.42003Zhuk, V. V. 1 1981 On constants in direct problems of approximation theory. Zbl 0431.42002Zhuk, V. V.; Natanson, G. I. 1 1980 On the question of the approximation of functions defined on a closed interval in the integral metric. Zbl 0429.41028Zhuk, V. V.; Natanson, G. I. 1 1979 On approaching the differentiable periodic functions by linear methods. Zbl 0412.42003Zhuk, V. V.; Natanson, G. I. 5 1977 On the question of approximation of functions by means of positive operators. Zbl 0436.41011Zhuk, V.; Natanson, G. 2 1977 On the problem of constants in direct theorems of the approximation theory for differentiable functions. Zbl 0362.41013Zhuk, V. V. 2 1976 Approximation of periodic functions by Fejer’s sums and the de la Vallee- Poussin integral. Zbl 0288.41013Zhuk, V. V. 3 1974 Über die Approximation stetiger periodischer Funktionen durch lineare Methoden der Summation von Fourierreihen. Zbl 0304.41013Zhuk, V. V. 1 1974 Über gewisse genaue Ungleichungen zwischen den besten Approximationen und Stetigkeitsmoduln. Zbl 0275.41012Zhuk, V. V. 1 1974 Some sharp inequalities between best approximations and moduli of continuity. Zbl 0243.42001Zhuk, V. V. 1 1972 Some sharp inequalities between best approximations and moduli of continuity. Zbl 0231.42004Zhuk, V. V. 8 1971 Some sharp inequalities between uniform best approximations of periodic functions. Zbl 0239.42003Zhuk, V. V. 3 1971 Saturation theory converse problem. Zbl 0194.09201Zhuk, V. V.; Natanson, G. I. 1 1969 Über die Ordnung der Approximation einer stetigen \(2\pi\)-periodischen Funktion nach linearen Methoden. Zbl 0188.13301Zhuk, V. V. 1 1969 Approximation of periodic functions by linear methods of summing their Fourier series. Zbl 0193.02904Zhuk, V. V. 1 1967 Über die Approximation einer \(2\pi\)-periodischen Funktion durch die Werte eines gewissens beschränkten halbadditiven Operators. II. Zbl 0172.34602Zhuk, V. V. 1 1967 On the representation of a periodic function by a bounded semiadditive operator. Zbl 0167.05201Zhuk, V. V. 2 1966 Some modifications of the concept of modulus of smoothness and their applications. Zbl 0147.05503Zhuk, V. V. 1 1965 all cited Publications top 5 cited Publications all top 5 Cited by 77 Authors 35 Zhuk, Vladimir Vasil’evich 25 Vinogradov, Oleg Leonidovich 8 Dodonov, N. Yu. 5 Babushkin, Max V. 4 Bure, Vladimir M. 4 Ligun, A. A. 4 Trynin, Aleksandr Yur’evich 3 Kryakin, Yuri V. 3 Sucu, Sezgin 3 Varma, Serhan 2 Babenko, Aleksandr Grigor’evich 2 Dron’, Vera O. 2 Gladkaya, A. V. 2 Ịçöz, Gürhan 2 Pichugov, S. A. 2 Puerov, G. Yu. 2 Sharapudinov, Idris Idrisovich 2 Skopina, Maria A. 1 Aliukov, S. V. 1 Andrianov, P. A. 1 Ansari, Khursheed Jamal 1 Besov, Oleg Vladimirovich 1 Boos, A. 1 Cao, Jiading 1 Cui, Dezao 1 Davydov, Oleg V. 1 Deepmala, Vandana 1 Deo, Naokant 1 Dhamija, Minakshi 1 Doronin, V. G. 1 Gairola, Asha Ram 1 Gavrilyuk, V. T. 1 Gilewicz, Jacek 1 Gonska, Heinz Herbert 1 Gorbachëv, Dmitriĭ Viktorovich 1 Hahn, Lothar 1 Ikhsanov, L. N. 1 Il’yasov, Niyazi Aladdin ogly 1 Ivanov, Valeriĭ Ivanovich 1 Ivanov, Valeriy Ivanovich 1 Khatri, Kejal 1 Kivinukk, Andi 1 Konyagin, Sergeĭ Vladimirovich 1 Kowalczyk, Stanisław 1 Magomed-Kasumov, M. G. 1 Martins-Filho, Carlos 1 Mertens, Hans Jochen 1 Mishra, Lakshmi Narayan 1 Mishra, Vishnu Narayan 1 Mursaleen, Mohammad 1 Mynbaev, Kairat T. 1 Nessel, Rolf Joachim 1 Nosenko, Yuri L. 1 Pérez-Palomares, Ana 1 Petukhov, Alexander P. 1 Pimenov, S. Yu. 1 Ponomarev, Stanislav P. 1 Pudovkin, A. A. 1 Saidusaynov, M. S. 1 Saksa, Anna 1 Savchuk, V. V. 1 Scherer, Karl 1 Shabozov, Mirgand Shabozovich 1 Shakirov, Iskander Asgatovich 1 Sharapudinov, T. I. 1 Shevchuk, Igor A. 1 Trigub, Roal’d Mikhaĭlovich 1 Tumka, Oleg A. 1 Umakhanov, Aĭvar Yarakhmedovich 1 Vakarchuk, Sergei Borisovich 1 Vakarchuk, Sergey B. 1 Vinogradov, L. 1 Weisz, Ferenc 1 Xu, Aimin 1 Zabutnaya, Valentina I. 1 Zastavnyĭ, Viktor Petrovich 1 Zeltser, Maria all top 5 Cited in 24 Serials 45 Journal of Mathematical Sciences (New York) 18 Mathematical Notes 5 Ukrainian Mathematical Journal 5 Journal of Approximation Theory 5 St. Petersburg Mathematical Journal 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 3 Siberian Mathematical Journal 3 Vestnik St. Petersburg University. Mathematics 2 Russian Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Analysis Mathematica 1 Journal of Mathematical Analysis and Applications 1 Calcolo 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistics & Probability Letters 1 Computational Mathematics and Modeling 1 Zapiski Nauchnykh Seminarov POMI 1 Abstract and Applied Analysis 1 Lobachevskii Journal of Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Proceedings of the Estonian Academy of Sciences 1 Afrika Matematika all top 5 Cited in 12 Fields 75 Approximations and expansions (41-XX) 54 Harmonic analysis on Euclidean spaces (42-XX) 8 Real functions (26-XX) 8 Functional analysis (46-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Operator theory (47-XX) 2 Numerical analysis (65-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.