Edit Profile (opens in new tab) Babenko, Aleksandr Grigor’evich Co-Author Distance Author ID: babenko.aleksandr-g Published as: Babenko, A. G.; Babenko, Alexander G.; Babenko, Alexander Grigor’evich; Babenko, A. more...less Homepage: http://home.imm.uran.ru/babenko/ External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 37 Publications since 1984 2 Contributions as Editor Co-Authors: 15 Co-Authors with 22 Joint Publications 143 Co-Co-Authors all top 5 Co-Authors 17 single-authored 9 Kryakin, Yuri V. 7 Arestov, Vitaliĭ Vladimirovich 4 Deikalova, Marina Valer’evna 3 Yudin, Vladimir A. 2 Berdyshev, Vitaliĭ Ivanovich 2 Chernykh, Nikolaĭ Ivanovich 1 Akopyan, Roman Razmikovich 1 Dolmatova, N. V. 1 Horváth, Ágota P. 1 Naum, T. Z. 1 Révész, Szilárd György 1 Shevaldin, Valeriĭ Trifonovich 1 Staszak, P. T. 1 Vasil’eva, Ekaterina Vladimirovna 1 Volkov, Yuriĭ Stepanovich all top 5 Serials 14 Proceedings of the Steklov Institute of Mathematics 6 Mathematical Notes 2 Trudy Instituta Matematiki i Mekhaniki 2 Ural Mathematical Journal 1 Analysis Mathematica 1 Matematicheskie Zametki 1 Constructive Approximation 1 East Journal on Approximations 1 Izvestiya: Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya all top 5 Fields 24 Approximations and expansions (41-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 76 times in 59 Documents Cited by ▼ Year ▼ Exact Jackson-Stechkin inequality in the space \(L^2(\mathbb{R}^m)\). Zbl 1076.41503Babenko, A. G. 9 1998 Nikol’skii type inequality; Bessel weight; extremal functions; extremal constants. Zbl 1424.47026Arestov, V.; Babenko, A.; Deikalova, M.; Horváth, Á. 8 2018 The exact constant in the Jackson inequality in \(L^ 2\). Zbl 0609.42002Babenko, A. G. 7 1986 On Delsarte scheme of estimating the contact numbers. Zbl 0927.52026Arestov, V. V.; Babenko, A. G. 6 1997 Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres. Zbl 0903.41014Babenko, A. G. 5 1996 One-sided approximation in \(L\) of the characteristic function of an interval by trigonometric polynomials. Zbl 1360.42003Babenko, A. G.; Kryakin, Yu. V.; Yudin, V. A. 5 2013 An exact Jackson-Stechkin inequality for \(L^2\)-approximation on the interval with the Jacobi weight and on projective spaces. Zbl 0938.41015Babenko, A. G. 4 1998 Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in \(\mathbb{R}^4\). Zbl 1018.94039Arestov, V. V.; Babenko, A. G. 3 2000 On the optimal point in Jackson’s inequality in \(L^2(-\infty,\infty)\) with the second modulus of continuity. Zbl 1113.41015Arestov, Vitalii V.; Babenko, Alexander G. 3 2004 On the Jackson-Stechkin inequality for the best \(L^2\)-approximations of functions by trigonometric polynomials. Zbl 1117.41014Babenko, A. G. 3 2001 An extremal problem for polynomials. Zbl 0601.41028Babenko, A. G. 3 1984 The Jackson-Stechkin inequality in \(L^2\) with trigonometric modulus of continuity. Zbl 0960.42001Babenko, A. G.; Chernykh, N. I.; Shevaldin, V. T. 3 1999 One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval. Zbl 1380.41002Babenko, A. G.; Deikalova, M. V.; Revesz, Sz. G. 3 2017 Weak-type inequalities for trigonometric polynomials. Zbl 0813.42001Babenko, A. G. 3 1992 Special moduli of continuity and the constant in the Jackson-Stechkin theorem. Zbl 1282.41003Babenko, A. G.; Kryakin, Y. V.; Staszak, P. T. 2 2013 On an extremal problem for polynomials. Zbl 0538.41043Babenko, A. G. 2 1984 Integral approximation of the characteristic function of an interval by trigonometric polynomials. Zbl 1312.41036Babenko, A. G.; Kryakin, Yu. V. 2 2009 Continuity of the best constant in the Jackson inequality in \(L^2\) with respect to argument of modulus of continuity. Zbl 1029.41007Arestov, Vitalii V.; Babenko, Alexander G. 1 2002 Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences. Transl. from the Russian. Zbl 1221.00064 1 2011 Integral approximation of the characteristic function of an interval and the Jackson inequality in \(C(\mathbb T)\). Zbl 1252.41011Babenko, A. G.; Kryakin, Yu. V. 1 2009 On a result by Geronimus. Zbl 1235.42001Babenko, A. G.; Kryakin, Yu. V.; Yudin, V. A. 1 2011 On constants in the Jackson-Stechkin theorem in the case of approximation by algebraic polynomials. Zbl 1423.41006Babenko, A. G.; Kryakin, Yu. V. 1 2018 Nikol’skii type inequality; Bessel weight; extremal functions; extremal constants. Zbl 1424.47026Arestov, V.; Babenko, A.; Deikalova, M.; Horváth, Á. 8 2018 On constants in the Jackson-Stechkin theorem in the case of approximation by algebraic polynomials. Zbl 1423.41006Babenko, A. G.; Kryakin, Yu. V. 1 2018 One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval. Zbl 1380.41002Babenko, A. G.; Deikalova, M. V.; Revesz, Sz. G. 3 2017 One-sided approximation in \(L\) of the characteristic function of an interval by trigonometric polynomials. Zbl 1360.42003Babenko, A. G.; Kryakin, Yu. V.; Yudin, V. A. 5 2013 Special moduli of continuity and the constant in the Jackson-Stechkin theorem. Zbl 1282.41003Babenko, A. G.; Kryakin, Y. V.; Staszak, P. T. 2 2013 Proceedings of the Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences. Transl. from the Russian. Zbl 1221.00064 1 2011 On a result by Geronimus. Zbl 1235.42001Babenko, A. G.; Kryakin, Yu. V.; Yudin, V. A. 1 2011 Integral approximation of the characteristic function of an interval by trigonometric polynomials. Zbl 1312.41036Babenko, A. G.; Kryakin, Yu. V. 2 2009 Integral approximation of the characteristic function of an interval and the Jackson inequality in \(C(\mathbb T)\). Zbl 1252.41011Babenko, A. G.; Kryakin, Yu. V. 1 2009 On the optimal point in Jackson’s inequality in \(L^2(-\infty,\infty)\) with the second modulus of continuity. Zbl 1113.41015Arestov, Vitalii V.; Babenko, Alexander G. 3 2004 Continuity of the best constant in the Jackson inequality in \(L^2\) with respect to argument of modulus of continuity. Zbl 1029.41007Arestov, Vitalii V.; Babenko, Alexander G. 1 2002 On the Jackson-Stechkin inequality for the best \(L^2\)-approximations of functions by trigonometric polynomials. Zbl 1117.41014Babenko, A. G. 3 2001 Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in \(\mathbb{R}^4\). Zbl 1018.94039Arestov, V. V.; Babenko, A. G. 3 2000 The Jackson-Stechkin inequality in \(L^2\) with trigonometric modulus of continuity. Zbl 0960.42001Babenko, A. G.; Chernykh, N. I.; Shevaldin, V. T. 3 1999 Exact Jackson-Stechkin inequality in the space \(L^2(\mathbb{R}^m)\). Zbl 1076.41503Babenko, A. G. 9 1998 An exact Jackson-Stechkin inequality for \(L^2\)-approximation on the interval with the Jacobi weight and on projective spaces. Zbl 0938.41015Babenko, A. G. 4 1998 On Delsarte scheme of estimating the contact numbers. Zbl 0927.52026Arestov, V. V.; Babenko, A. G. 6 1997 Sharp Jackson-Stechkin inequality in \(L^2\) for multidimensional spheres. Zbl 0903.41014Babenko, A. G. 5 1996 Weak-type inequalities for trigonometric polynomials. Zbl 0813.42001Babenko, A. G. 3 1992 The exact constant in the Jackson inequality in \(L^ 2\). Zbl 0609.42002Babenko, A. G. 7 1986 An extremal problem for polynomials. Zbl 0601.41028Babenko, A. G. 3 1984 On an extremal problem for polynomials. Zbl 0538.41043Babenko, A. G. 2 1984 all cited Publications top 5 cited Publications all top 5 Cited by 59 Authors 8 Arestov, Vitaliĭ Vladimirovich 8 Gorbachëv, Dmitriĭ Viktorovich 7 Babenko, Aleksandr Grigor’evich 7 Deikalova, Marina Valer’evna 5 Ivanov, Valerĭ Ivanovich 4 Kryakin, Yuri V. 3 Révész, Szilárd György 3 Shabozov, Mirgand Shabozovich 3 Shidlich, Andrii 3 Torgashova, Anastasiya Yu. 2 Abdullayev, Fahreddin G. 2 Adams, Henry 2 Berdysheva, Elena E. 2 Chaĭchenko, Stanislav Olegovich 2 Draganov, Borislav R. 2 Frick, Florian 2 Ivanov, Alekseĭ Valer’evich 2 Kuklin, N. A. 2 Martyanov, Ivan Anatol’evich 2 Yusupov, Gulzorkhon Amirshoevich 1 Abdulkhaminov, M. A. 1 Adamaszek, Michal 1 Andreev, Nikolaĭ Nikolaevich 1 Balaganskij, V. S. 1 Bayramov, E. B. 1 Boĭvalenkov, Pet”r Georgiev 1 Bush, Johnathan 1 Dai, Feng 1 Dobrovol’skiĭ, Nikolai Nikolaevich 1 Dolmatova, N. V. 1 Dragnev, Peter D. 1 Filatova, Maria A. 1 Ganzburg, Michael Iosifovich 1 Ha Thi Minh Hue 1 Hardin, Douglas P. 1 Horváth, Ágota P. 1 Lasuriya, Robert Andreevich 1 Littmann, Friedrich 1 Liu, Yongping 1 Livshits, Evgeny Davidovich 1 Mendelev, Alexei S. 1 Özkartepe, Naciye Pelin 1 Parvanov, Parvan E. 1 Patrakeev, Mikhail A. 1 Peterson, Chris 1 Previte-Johnson, Corrine 1 Raevskaya, V. Yu. 1 Saff, Edward Barry 1 Savchuk, Viktor V. 1 Shulyk, T. V. 1 Song, Chunyuan 1 Spanier, Mark 1 Stoyanova, Maya M. 1 Strankovskii, S. A. 1 Temurbekova, Sofiya Davronbekovna 1 Tikhonov, Sergey Yur’evich 1 Veprintsev, Roman A. 1 Vinogradov, Oleg Leonidovich 1 Yudin, Vladimir A. all top 5 Cited in 22 Serials 17 Proceedings of the Steklov Institute of Mathematics 14 Mathematical Notes 2 Analysis Mathematica 2 Ukrainian Mathematical Journal 2 Journal of Approximation Theory 2 Siberian Mathematical Journal 2 Constructive Approximation 2 Acta Mathematica Sinica. English Series 2 Chebyshevskiĭ Sbornik 2 Ural Mathematical Journal 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Mathematika 1 Acta Mathematica Hungarica 1 Journal of Complexity 1 Discrete & Computational Geometry 1 Russian Mathematics 1 Topology Proceedings 1 Filomat 1 Mathematical Inequalities & Applications 1 Computational Methods and Function Theory 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V all top 5 Cited in 19 Fields 41 Approximations and expansions (41-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 7 Functions of a complex variable (30-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 3 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Information and communication theory, circuits (94-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) Citations by Year