Edit Profile Tikhonov, Sergey Yur’evich Compute Distance To: Compute Author ID: tikhonov.sergey-yu Published as: Tikhonov, S.; Tikhonov, S. Yu.; Tikhonov, Sergej Yu.; Tikhonov, Sergey; Tikhonov, Sergey Yu.; Tikhonov, Sergeĭ Yur’evich External Links: MGP · Math-Net.Ru · Wikidata · dblp Documents Indexed: 105 Publications since 2002, including 3 Books all top 5 Co-Authors 23 single-authored 15 Gorbachëv, Dmitriĭ Viktorovich 13 D’yachenko, Mikhaĭl Ivanovich 13 Simonov, Boris Vital’evich 12 Nursultanov, Erlan D. 9 Liflyand, Elijah 9 Potapov, Mikhaĭl Konstantinovich 6 Dai, Feng 4 Ditzian, Zeev 4 Ruzhansky, Michael V. 3 De Carli, Laura 3 Ivanov, Valeriy Ivanovich 3 Mukanov, Askhat Birlesovich 2 Ivanov, Valeriĭ Ivanovich 2 Stepanov, Vladimir Dmitrievich 2 Temlyakov, Vladimir Nikolaevich 2 Tleukhanova, Nazerke Tulekovna 2 Trebels, Walter 2 Zeltser, Maria 1 Abell, Martha L. 1 Ash, J. Marshall 1 Bondarenko, Andriy V. 1 Erlan, Nursultanov 1 Feng, Han 1 Ganzburg, Michael Iosifovich 1 Glazyrina, Polina Yu. 1 Gogatishvili, Amiran 1 Iacob, Emil 1 Kolesnikov, Alexander V. 1 Kolomoitsev, Yurii S. 1 Mhaskar, Hrushikesh N. 1 Opic, Bohumír 1 Prymak, Andriy V. 1 Stokolos, Alex 1 Taylor, Sharon 1 Tung, James 1 Zhu, Jiehua all top 5 Serials 9 Journal of Approximation Theory 7 Journal of Mathematical Analysis and Applications 5 The Journal of Fourier Analysis and Applications 4 Mathematical Notes 4 Proceedings of the American Mathematical Society 4 Constructive Approximation 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal d’Analyse Mathématique 3 Moscow University Mathematics Bulletin 3 Studia Mathematica 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 2 Acta Mathematica Hungarica 2 Revista Matemática Iberoamericana 2 Calculus of Variations and Partial Differential Equations 2 Bulletin des Sciences Mathématiques 2 Sbornik: Mathematics 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Proceedings of the Steklov Institute of Mathematics 2 Applied and Numerical Harmonic Analysis 1 Analysis Mathematica 1 Russian Mathematical Surveys 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Acta Scientiarum Mathematicarum 1 Canadian Journal of Mathematics 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Real Analysis Exchange 1 Zeitschrift für Analysis und ihre Anwendungen 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Surveys in Approximation Theory (SAT) 1 Complex Variables and Elliptic Equations 1 Jaen Journal on Approximation 1 Eurasian Mathematical Journal 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 76 Harmonic analysis on Euclidean spaces (42-XX) 31 Approximations and expansions (41-XX) 30 Real functions (26-XX) 30 Functional analysis (46-XX) 7 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 5 Partial differential equations (35-XX) 5 Operator theory (47-XX) 4 Sequences, series, summability (40-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral equations (45-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 81 Publications have been cited 677 times in 300 Documents Cited by ▼ Year ▼ Trigonometric series with general monotone coefficients. Zbl 1106.42003Tikhonov, S. 59 2007 Ul’yanov and Nikol’skii-type inequalities. Zbl 1069.41014Ditzian, Z.; Tikhonov, S. 36 2005 A concept of general monotonicity and applications. Zbl 1223.26017Liflyand, E.; Tikhonov, S. 26 2011 Best approximation and moduli of smoothness: Computation and equivalence theorems. Zbl 1215.42002Tikhonov, Sergey 25 2008 Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001Dyachenko, Mikhail; Tikhonov, Sergey 21 2009 Extended solution of Boas’ conjecture on Fourier transforms. Zbl 1151.42002Liflyand, Elijah; Tikhonov, Sergey 20 2008 The Fourier transforms of general monotone functions. Zbl 1297.42009Liflyand, E.; Tikhonov, S. 18 2009 Sharp Jackson inequalities. Zbl 1136.41003Dai, F.; Ditzian, Z.; Tikhonov, S. 18 2008 Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds. Zbl 1356.35022Nursultanov, Erlan; Ruzhansky, Michael; Tikhonov, Sergey 17 2016 Mixed moduli of smoothness in \(L_{p}\): a survey. Zbl 1285.26008Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 17 2013 Sharp Ul’yanov-type inequalities using fractional smoothness. Zbl 1215.26011Simonov, Boris; Tikhonov, Sergey 15 2010 Net spaces and boundedness of integral operators. Zbl 1248.46025Nursultanov, Erlan; Tikhonov, Sergey 14 2011 Embedding theorems in constructive approximation. Zbl 1172.46023Simonov, B. V.; Tikhonov, S. Yu. 14 2008 Trigonometric series of Nikol’skii classes. Zbl 1121.42006Tikhonov, S. 14 2007 A sharp Remez inequality for trigonometric polynomials. Zbl 1280.41011Nursultanov, E.; Tikhonov, S. 13 2013 Weighted Fourier inequalities: Boas’ conjecture in \({\mathbb{R}}^{n}\). Zbl 1246.42011Gorbachev, D.; Liflyand, E.; Tikhonov, S. 13 2011 Pitt’s inequalities and uncertainty principle for generalized Fourier transform. Zbl 1404.42019Gorbachev, Dmitry V.; Ivanov, Valerii I.; Tikhonov, Sergey Yu. 12 2016 On generalized Lipschitz classes and Fourier series. Zbl 1065.26005Tikhonov, Sergey 12 2004 Convolution inequalities in Lorentz spaces. Zbl 1235.44012Nursultanov, Erlan; Tikhonov, Sergey 11 2011 Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004Dyachenko, Mikhail; Tikhonov, Sergey 11 2007 Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications. Zbl 1416.42007Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu. 10 2019 Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter 10 2014 Moduli of smoothness of functions and their derivatives. Zbl 1141.26005Ditzian, Z.; Tikhonov, S. 10 2007 Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates. Zbl 1252.42011Gorbachev, Dmitry; Tikhonov, Sergey 9 2012 Weak type inequalities for moduli of smoothness: The case of limit value parameters. Zbl 1217.41015Tikhonov, Sergey 9 2010 On \(L_1\)-convergence of Fourier series. Zbl 1257.42009Tikhonov, Sergey 9 2008 On the integrability of trigonometric series. Zbl 1136.42003Tikhonov, S. Yu. 9 2005 On sharp constants in Bernstein-Nikolskii inequalities. Zbl 1370.41023Ganzburg, Michael I.; Tikhonov, Sergey Yu. 8 2017 Nikolskii inequality and functional classes on compact Lie groups. Zbl 1339.46038Nursultanov, E. D.; Ruzhansky, M. V.; Tikhonov, S. Yu. 8 2015 Extending tests for convergence of number series. Zbl 1216.40001Liflyand, E.; Tikhonov, S.; Zeltser, M. 8 2011 Weighted Paley-Wiener theorem on the Hilbert transform. Zbl 1210.42019Liflyand, Elijah; Tikhonov, Sergey 8 2010 General monotone sequences and convergence of trigonometric series. Zbl 1167.42303Dyachenko, M.; Tikhonov, S. 8 2008 A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031Dyachenko, Mikhail; Tikhonov, Sergey 8 2008 On the uniform convergence of trigonometric series. Zbl 1183.42005Tikhonov, S. Yu. 8 2007 Smoothness conditions and Fourier series. Zbl 1124.26002Tikhonov, Sergey 8 2007 On moduli of smoothness of fractional order. Zbl 1108.26004Tikhonov, S. 8 2005 Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\). Zbl 1334.42020Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu. 7 2016 On embeddings of function classes defined by constructive characteristics. Zbl 1115.46029Simonov, Boris V.; Tikhonov, Sergey Yu. 7 2006 Pitt inequalities and restriction theorems for the Fourier transform. Zbl 1381.42018De Carli, Laura; Gorbachev, Dmitry; Tikhonov, Sergey 6 2017 Pitt and Boas inequalities for Fourier and Hankel transforms. Zbl 1307.44004De Carli, L.; Gorbachev, D.; Tikhonov, S. 6 2013 Two-sided weighted Fourier inequalities. Zbl 1278.42006Liflyand, Elijah; Tikhonov, Sergey 6 2012 Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey 6 2010 Embedding results in questions of strong approximation by Fourier series. Zbl 1121.42005Tikhonov, Sergey 6 2006 Strong approximation of Fourier series and embedding theorems. Zbl 1120.42002Tikhonov, Sergey 6 2005 Wiener’s problem for positive definite functions. Zbl 1402.42011Gorbachev, D. V.; Tikhonov, S. Yu. 5 2018 Constructive characteristics of mixed moduli of smoothness of positive orders. Zbl 1298.41020Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 5 2012 Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005Stepanov, Vladimir D.; Tikhonov, Sergey Yu. 5 2011 Ulyanov-type inequalities and generalized Liouville derivatives. Zbl 1213.26010Tikhonov, Sergey; Trebels, Walter 5 2011 Relations between mixed moduli of smoothness, and embedding theorems for Nikol’skii classes. Zbl 1213.46032Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 5 2010 Wiener’s positive Fourier coefficients theorem in variants of \(L^p\) spaces. Zbl 1204.42012Ash, J. M.; Tikhonov, S.; Tung, J. 5 2010 Weighted norm inequalities for integral transforms. Zbl 1410.42013Gorbachev, Dmitry; Liflyand, Elijah; Tikhonov, Sergey 4 2018 Weighted norm inequalities for convolution and Riesz potential. Zbl 1307.31017Nursultanov, Erlan; Tikhonov, Sergey 4 2015 Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034Stepanov, V. D.; Tikhonov, S. Yu. 4 2011 Relations between moduli of smoothness in different metrics. Zbl 1304.41010Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 4 2009 Norm inequalities for convolution operators. Zbl 1184.42005Nursultanov, Erlan; Tikhonov, Sergey; Tleukhanova, Nazerke 4 2009 Characteristics of Besov-Nikol’skiĭ class of functions. Zbl 1114.42002Tikhonov, Sergey 4 2005 On the Besov and Besov-Nikol’skiĭ classes and on estimates for the mixed moduli of smoothness of fractional derivatives. Zbl 1089.46024Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 4 2003 Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004Kolomoitsev, Yurii; Tikhonov, Sergey 3 2020 Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005Dyachenko, M. I.; Tikhonov, S. Yu. 3 2018 Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015Temlyakov, V.; Tikhonov, S. 3 2017 Reverse Hölder’s inequality for spherical harmonics. Zbl 1366.33009Dai, Feng; Feng, Han; Tikhonov, Sergey 3 2016 Weak monotonicity concept and its applications. Zbl 1334.40004Tikhonov, S.; Zeltser, M. 3 2014 Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084Mhaskar, H. N.; Tikhonov, S. 3 2012 Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients. Zbl 1204.42007Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 3 2009 An inequality of P. L. Ul’yanov. Zbl 1212.26029Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 3 2008 Doubling condition at the origin for non-negative positive definite functions. Zbl 1412.42024Gorbachev, Dmitry; Tikhonov, Sergey 2 2019 Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006Dyachenko, M.; Nursultanov, E.; Tikhonov, S. 2 2018 Weighted fractional Bernstein’s inequalities and their applications. Zbl 1350.26022Dai, Feng; Tikhonov, Sergey 2 2016 Some problems in Fourier analysis and approximation theory. Zbl 1343.42001Ruzhansky, Michael; Tikhonov, Sergey 2 2016 Transformation of Fourier series using power and weakly oscillating sequences. Zbl 1094.42005Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 2 2005 Integral norm discretization and related problems. Zbl 07179262Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu. 1 2019 Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey 1 2019 Norm convolution inequalities in Lebesgue spaces. Zbl 1404.44010Erlan, Nursultanov; Tikhonov, Sergey; Tleukhanova, Nazerke 1 2018 Bernstein inequalities with nondoubling weights. Zbl 1362.26014Bondarenko, Andrii; Tikhonov, Sergey 1 2017 Jacobi weights, fractional integration, and sharp Ulyanov inequalities. Zbl 1321.41011Glazyrina, Polina; Tikhonov, Sergey 1 2015 Regularity of the Monge-Ampère equation in Besov’s spaces. Zbl 1290.35098Kolesnikov, Alexander V.; Tikhonov, Sergey Yu. 1 2014 Addendum to “Trigonometric series of Nikol’skii classes”. Zbl 1212.42011Tikhonov, S. 1 2008 On two theorems of Lorentz. Zbl 1077.42004Tikhonov, S. Yu. 1 2005 Remark on the order of approximation by Steklov means. Zbl 1084.41013Ditzian, Z.; Tikhonov, S. Yu. 1 2004 Estimates for the moduli of smoothness of a transformed Fourier series. Zbl 1119.42301Tikhonov, S. Yu. 1 2002 Moduli of smoothness and the interrelation of some classes of functions. Zbl 1129.46307Tikhonov, Sergey Yu. 1 2002 Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004Kolomoitsev, Yurii; Tikhonov, Sergey 3 2020 Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications. Zbl 1416.42007Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu. 10 2019 Doubling condition at the origin for non-negative positive definite functions. Zbl 1412.42024Gorbachev, Dmitry; Tikhonov, Sergey 2 2019 Integral norm discretization and related problems. Zbl 07179262Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu. 1 2019 Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey 1 2019 Wiener’s problem for positive definite functions. Zbl 1402.42011Gorbachev, D. V.; Tikhonov, S. Yu. 5 2018 Weighted norm inequalities for integral transforms. Zbl 1410.42013Gorbachev, Dmitry; Liflyand, Elijah; Tikhonov, Sergey 4 2018 Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005Dyachenko, M. I.; Tikhonov, S. Yu. 3 2018 Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006Dyachenko, M.; Nursultanov, E.; Tikhonov, S. 2 2018 Norm convolution inequalities in Lebesgue spaces. Zbl 1404.44010Erlan, Nursultanov; Tikhonov, Sergey; Tleukhanova, Nazerke 1 2018 On sharp constants in Bernstein-Nikolskii inequalities. Zbl 1370.41023Ganzburg, Michael I.; Tikhonov, Sergey Yu. 8 2017 Pitt inequalities and restriction theorems for the Fourier transform. Zbl 1381.42018De Carli, Laura; Gorbachev, Dmitry; Tikhonov, Sergey 6 2017 Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015Temlyakov, V.; Tikhonov, S. 3 2017 Bernstein inequalities with nondoubling weights. Zbl 1362.26014Bondarenko, Andrii; Tikhonov, Sergey 1 2017 Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds. Zbl 1356.35022Nursultanov, Erlan; Ruzhansky, Michael; Tikhonov, Sergey 17 2016 Pitt’s inequalities and uncertainty principle for generalized Fourier transform. Zbl 1404.42019Gorbachev, Dmitry V.; Ivanov, Valerii I.; Tikhonov, Sergey Yu. 12 2016 Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\). Zbl 1334.42020Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu. 7 2016 Reverse Hölder’s inequality for spherical harmonics. Zbl 1366.33009Dai, Feng; Feng, Han; Tikhonov, Sergey 3 2016 Weighted fractional Bernstein’s inequalities and their applications. Zbl 1350.26022Dai, Feng; Tikhonov, Sergey 2 2016 Some problems in Fourier analysis and approximation theory. Zbl 1343.42001Ruzhansky, Michael; Tikhonov, Sergey 2 2016 Nikolskii inequality and functional classes on compact Lie groups. Zbl 1339.46038Nursultanov, E. D.; Ruzhansky, M. V.; Tikhonov, S. Yu. 8 2015 Weighted norm inequalities for convolution and Riesz potential. Zbl 1307.31017Nursultanov, Erlan; Tikhonov, Sergey 4 2015 Jacobi weights, fractional integration, and sharp Ulyanov inequalities. Zbl 1321.41011Glazyrina, Polina; Tikhonov, Sergey 1 2015 Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter 10 2014 Weak monotonicity concept and its applications. Zbl 1334.40004Tikhonov, S.; Zeltser, M. 3 2014 Regularity of the Monge-Ampère equation in Besov’s spaces. Zbl 1290.35098Kolesnikov, Alexander V.; Tikhonov, Sergey Yu. 1 2014 Mixed moduli of smoothness in \(L_{p}\): a survey. Zbl 1285.26008Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 17 2013 A sharp Remez inequality for trigonometric polynomials. Zbl 1280.41011Nursultanov, E.; Tikhonov, S. 13 2013 Pitt and Boas inequalities for Fourier and Hankel transforms. Zbl 1307.44004De Carli, L.; Gorbachev, D.; Tikhonov, S. 6 2013 Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates. Zbl 1252.42011Gorbachev, Dmitry; Tikhonov, Sergey 9 2012 Two-sided weighted Fourier inequalities. Zbl 1278.42006Liflyand, Elijah; Tikhonov, Sergey 6 2012 Constructive characteristics of mixed moduli of smoothness of positive orders. Zbl 1298.41020Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 5 2012 Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084Mhaskar, H. N.; Tikhonov, S. 3 2012 A concept of general monotonicity and applications. Zbl 1223.26017Liflyand, E.; Tikhonov, S. 26 2011 Net spaces and boundedness of integral operators. Zbl 1248.46025Nursultanov, Erlan; Tikhonov, Sergey 14 2011 Weighted Fourier inequalities: Boas’ conjecture in \({\mathbb{R}}^{n}\). Zbl 1246.42011Gorbachev, D.; Liflyand, E.; Tikhonov, S. 13 2011 Convolution inequalities in Lorentz spaces. Zbl 1235.44012Nursultanov, Erlan; Tikhonov, Sergey 11 2011 Extending tests for convergence of number series. Zbl 1216.40001Liflyand, E.; Tikhonov, S.; Zeltser, M. 8 2011 Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005Stepanov, Vladimir D.; Tikhonov, Sergey Yu. 5 2011 Ulyanov-type inequalities and generalized Liouville derivatives. Zbl 1213.26010Tikhonov, Sergey; Trebels, Walter 5 2011 Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034Stepanov, V. D.; Tikhonov, S. Yu. 4 2011 Sharp Ul’yanov-type inequalities using fractional smoothness. Zbl 1215.26011Simonov, Boris; Tikhonov, Sergey 15 2010 Weak type inequalities for moduli of smoothness: The case of limit value parameters. Zbl 1217.41015Tikhonov, Sergey 9 2010 Weighted Paley-Wiener theorem on the Hilbert transform. Zbl 1210.42019Liflyand, Elijah; Tikhonov, Sergey 8 2010 Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey 6 2010 Relations between mixed moduli of smoothness, and embedding theorems for Nikol’skii classes. Zbl 1213.46032Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 5 2010 Wiener’s positive Fourier coefficients theorem in variants of \(L^p\) spaces. Zbl 1204.42012Ash, J. M.; Tikhonov, S.; Tung, J. 5 2010 Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001Dyachenko, Mikhail; Tikhonov, Sergey 21 2009 The Fourier transforms of general monotone functions. Zbl 1297.42009Liflyand, E.; Tikhonov, S. 18 2009 Relations between moduli of smoothness in different metrics. Zbl 1304.41010Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 4 2009 Norm inequalities for convolution operators. Zbl 1184.42005Nursultanov, Erlan; Tikhonov, Sergey; Tleukhanova, Nazerke 4 2009 Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients. Zbl 1204.42007Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 3 2009 Best approximation and moduli of smoothness: Computation and equivalence theorems. Zbl 1215.42002Tikhonov, Sergey 25 2008 Extended solution of Boas’ conjecture on Fourier transforms. Zbl 1151.42002Liflyand, Elijah; Tikhonov, Sergey 20 2008 Sharp Jackson inequalities. Zbl 1136.41003Dai, F.; Ditzian, Z.; Tikhonov, S. 18 2008 Embedding theorems in constructive approximation. Zbl 1172.46023Simonov, B. V.; Tikhonov, S. Yu. 14 2008 On \(L_1\)-convergence of Fourier series. Zbl 1257.42009Tikhonov, Sergey 9 2008 General monotone sequences and convergence of trigonometric series. Zbl 1167.42303Dyachenko, M.; Tikhonov, S. 8 2008 A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031Dyachenko, Mikhail; Tikhonov, Sergey 8 2008 An inequality of P. L. Ul’yanov. Zbl 1212.26029Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 3 2008 Addendum to “Trigonometric series of Nikol’skii classes”. Zbl 1212.42011Tikhonov, S. 1 2008 Trigonometric series with general monotone coefficients. Zbl 1106.42003Tikhonov, S. 59 2007 Trigonometric series of Nikol’skii classes. Zbl 1121.42006Tikhonov, S. 14 2007 Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004Dyachenko, Mikhail; Tikhonov, Sergey 11 2007 Moduli of smoothness of functions and their derivatives. Zbl 1141.26005Ditzian, Z.; Tikhonov, S. 10 2007 On the uniform convergence of trigonometric series. Zbl 1183.42005Tikhonov, S. Yu. 8 2007 Smoothness conditions and Fourier series. Zbl 1124.26002Tikhonov, Sergey 8 2007 On embeddings of function classes defined by constructive characteristics. Zbl 1115.46029Simonov, Boris V.; Tikhonov, Sergey Yu. 7 2006 Embedding results in questions of strong approximation by Fourier series. Zbl 1121.42005Tikhonov, Sergey 6 2006 Ul’yanov and Nikol’skii-type inequalities. Zbl 1069.41014Ditzian, Z.; Tikhonov, S. 36 2005 On the integrability of trigonometric series. Zbl 1136.42003Tikhonov, S. Yu. 9 2005 On moduli of smoothness of fractional order. Zbl 1108.26004Tikhonov, S. 8 2005 Strong approximation of Fourier series and embedding theorems. Zbl 1120.42002Tikhonov, Sergey 6 2005 Characteristics of Besov-Nikol’skiĭ class of functions. Zbl 1114.42002Tikhonov, Sergey 4 2005 Transformation of Fourier series using power and weakly oscillating sequences. Zbl 1094.42005Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 2 2005 On two theorems of Lorentz. Zbl 1077.42004Tikhonov, S. Yu. 1 2005 On generalized Lipschitz classes and Fourier series. Zbl 1065.26005Tikhonov, Sergey 12 2004 Remark on the order of approximation by Steklov means. Zbl 1084.41013Ditzian, Z.; Tikhonov, S. Yu. 1 2004 On the Besov and Besov-Nikol’skiĭ classes and on estimates for the mixed moduli of smoothness of fractional derivatives. Zbl 1089.46024Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu. 4 2003 Estimates for the moduli of smoothness of a transformed Fourier series. Zbl 1119.42301Tikhonov, S. Yu. 1 2002 Moduli of smoothness and the interrelation of some classes of functions. Zbl 1129.46307Tikhonov, Sergey Yu. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 225 Authors 57 Tikhonov, Sergey Yur’evich 19 Gorbachëv, Dmitriĭ Viktorovich 17 Nursultanov, Erlan D. 17 Simonov, Boris Vital’evich 16 Liflyand, Elijah 16 Volosivets, Sergeĭ Sergeevich 14 Potapov, Mikhaĭl Konstantinovich 12 Szal, Bogdan 11 D’yachenko, Mikhaĭl Ivanovich 11 Ruzhansky, Michael V. 8 Ditzian, Zeev 7 Leindler, László 7 Zhou, Songping 6 Dai, Feng 6 Ganzburg, Michael Iosifovich 6 Mejjaoli, Hatem 5 Ben Saïd, Salem 5 Cardona, Duván 5 Kofanov, V. A. 5 Prymak, Andriy V. 5 Stepanov, Vladimir Dmitrievich 4 Akgun, Ramazan 4 Akylzhanov, Rauan Kh. 4 Dominguez, Oscar 4 Golubov, Boris Ivanovich 4 Ivanov, Valeriy Ivanovich 4 Tleukhanova, Nazerke Tulekovna 4 Trebels, Walter 4 Yu, Dansheng 3 Arestov, Vitaliĭ Vladimirovich 3 Booton, Barry 3 Debernardi, Alberto 3 Deikalova, Marina V. 3 Gogatishvili, Amiran 3 Haroske, Dorothee D. 3 Ivanov, Valeriĭ Ivanovich 3 Jumabayeva, Ainur 3 Kolomoitsev, Yurii S. 3 Kopezhanova, Aĭgerim Nurzhanovna 3 Kórus, Péter 3 Łenski, Włodzimierz 3 Persson, Lars-Erik 3 Shambilova, Guldarya Ermakovna 3 Tyuleneva, Anna Anatol’evna 2 Aliev, Rashid A. 2 Amrahova, Aynur F. 2 Ciaurri, Óscar 2 Cobos, Fernando 2 De Carli, Laura 2 de Nápoli, Pablo Luis 2 Deleaval, Luc 2 Delgado, Julio 2 Doktorski, Leo R. Ya. 2 Drelichman, Irene 2 Gaál, Marcell 2 Ghobber, Saifallah 2 Jafarov, Sadulla Z. 2 Jiménez-Garrido, Javier 2 Jordão, Thaís 2 Křepela, Martin 2 Le, Ruijun 2 Mukanov, Askhat Birlesovich 2 Neves, Júlio Severino 2 Niculescu, Constantin P. 2 Notarangelo, Incoronata 2 Opic, Bohumír 2 Owolabi, Kolade Matthew 2 Pesenson, Isaac Zalmanovich 2 Popovici, Florin 2 Runovski, Konstantin Vsevolodovich 2 Sanz, Javier 2 Schindl, Gerhard 2 Sickel, Winfried 2 Smailov, Esmukhanbet Saĭdakhmetovich 2 Stasyuk, Sergej Andreevich 2 Temlyakov, Vladimir Nikolaevich 2 Totik, Vilmos 2 Triebel, Hans 2 Zhou, Ping 1 Adcock, Ben 1 Adnani, A. A. Tabatabai 1 Akakpo, Nathalie 1 Akhymbek, Meiram Erkanatuly 1 Akishev, Galym 1 Amri, Bechir 1 Anoop, V. P. 1 Arenas, Alberto 1 Artamonov, Sergeĭ Yurievich 1 Aubakirov, T. U. 1 Babenko, Aleksandr Grigor’evich 1 Babushkin, Max V. 1 Baituyakova, Z. 1 Barza, Sorina 1 Benyamini, Yoav 1 Berisha, Faton M. 1 Berisha, Nimete Sh. 1 Berndt, Ryan M. 1 Białas-Cież, Leokadia 1 Bimendina, Aĭnur Uzbekovna 1 Bray, William O. ...and 125 more Authors all top 5 Cited in 103 Serials 25 Journal of Mathematical Analysis and Applications 21 Journal of Approximation Theory 16 Acta Mathematica Hungarica 16 The Journal of Fourier Analysis and Applications 15 Analysis Mathematica 13 Mathematical Notes 10 Moscow University Mathematics Bulletin 9 Ukrainian Mathematical Journal 8 Constructive Approximation 7 Journal of Mathematical Sciences (New York) 7 Proceedings of the Steklov Institute of Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Pseudo-Differential Operators and Applications 5 Eurasian Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Doklady Mathematics 4 Journal of Inequalities and Applications 3 Journal d’Analyse Mathématique 3 Journal of Functional Analysis 3 Mathematische Nachrichten 3 Bulletin des Sciences Mathématiques 3 Abstract and Applied Analysis 3 Mediterranean Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Chebyshevskiĭ Sbornik 3 Transactions of A. Razmadze Mathematical Institute 2 Russian Mathematical Surveys 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Monatshefte für Mathematik 2 Siberian Mathematical Journal 2 The Journal of Geometric Analysis 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Indagationes Mathematicae. New Series 2 Russian Mathematics 2 Integral Transforms and Special Functions 2 Mathematical Inequalities & Applications 2 Analysis and Applications (Singapore) 2 Complex Analysis and Operator Theory 2 Journal of Function Spaces 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Colloquium Mathematicum 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of Multivariate Analysis 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 Computational Statistics and Data Analysis 1 Potential Analysis 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Bernoulli 1 Sbornik: Mathematics 1 Acta Mathematica Sinica. English Series 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Communications on Pure and Applied Analysis 1 Computational Methods and Function Theory 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis in Theory and Applications 1 International Journal of Wavelets, Multiresolution and Information Processing 1 The Australian Journal of Mathematical Analysis and Applications 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Discrete and Continuous Dynamical Systems. Series S 1 Tbilisi Mathematical Journal 1 Science China. Mathematics 1 Symmetry 1 Analysis and Mathematical Physics 1 Forum of Mathematics, Sigma 1 Journal of Classical Analysis 1 Problemy Analiza. Issues of Analysis 1 Journal of Linear and Topological Algebra 1 European Journal of Mathematics 1 Advances in Operator Theory ...and 3 more Serials all top 5 Cited in 31 Fields 187 Harmonic analysis on Euclidean spaces (42-XX) 83 Approximations and expansions (41-XX) 72 Real functions (26-XX) 68 Functional analysis (46-XX) 30 Operator theory (47-XX) 26 Integral transforms, operational calculus (44-XX) 16 Sequences, series, summability (40-XX) 15 Special functions (33-XX) 14 Partial differential equations (35-XX) 13 Abstract harmonic analysis (43-XX) 12 Functions of a complex variable (30-XX) 9 Topological groups, Lie groups (22-XX) 8 Numerical analysis (65-XX) 4 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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