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Tikhonov, Sergey Yur’evich

Author ID: tikhonov.sergey-yu Recent zbMATH articles by "Tikhonov, Sergey Yur’evich"
Published as: Tikhonov, Sergey; Tikhonov, S. Yu.; Tikhonov, S.; Tikhonov, Sergey Yu.; Tikhonov, Sergeĭ Yur’evich; Tikhonov, Sergei Yu.; Tikhonov, Sergej Yu.
Further Spellings: Тихонов Сергей Юрьевич
External Links: MGP · Google Scholar · Math-Net.Ru · dblp
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Serials

9 Journal of Approximation Theory
7 Journal of Mathematical Analysis and Applications
6 Constructive Approximation
6 The Journal of Fourier Analysis and Applications
4 Mathematical Notes
4 Proceedings of the American Mathematical Society
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Proceedings of the Steklov Institute of Mathematics
4 Advanced Courses in Mathematics – CRM Barcelona
3 Journal d’Analyse Mathématique
3 Moscow University Mathematics Bulletin
3 Russian Mathematical Surveys
3 Studia Mathematica
3 Journal of Functional Analysis
3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Calculus of Variations and Partial Differential Equations
2 Canadian Journal of Mathematics
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Acta Mathematica Hungarica
2 Journal of Complexity
2 Revista Matemática Iberoamericana
2 Potential Analysis
2 Bulletin des Sciences Mathématiques
2 Sbornik: Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Applied and Numerical Harmonic Analysis
1 Analysis Mathematica
1 Ukraïns’kyĭ Matematychnyĭ Zhurnal
1 Acta Scientiarum Mathematicarum
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Mathematische Nachrichten
1 Mathematica Scandinavica
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 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 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 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 1,367 times in 594 Documents Cited by Year
Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 – June 3, 2016. Zbl 1414.41001
Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino
97
2018
Trigonometric series with general monotone coefficients. Zbl 1106.42003
Tikhonov, S.
86
2007
Ul’yanov and Nikol’skii-type inequalities. Zbl 1069.41014
Ditzian, Z.; Tikhonov, S.
47
2005
Pitt’s inequalities and uncertainty principle for generalized Fourier transform. Zbl 1404.42019
Gorbachev, Dmitry V.; Ivanov, Valerii I.; Tikhonov, Sergey Yu.
47
2016
A concept of general monotonicity and applications. Zbl 1223.26017
Liflyand, E.; Tikhonov, S.
46
2011
Best approximation and moduli of smoothness: Computation and equivalence theorems. Zbl 1215.42002
Tikhonov, Sergey
46
2008
On generalized Lipschitz classes and Fourier series. Zbl 1065.26005
Tikhonov, Sergey
33
2004
Integral norm discretization and related problems. Zbl 07179262
Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu.
33
2019
Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001
Dyachenko, Mikhail; Tikhonov, Sergey
32
2009
Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates. Zbl 1252.42011
Gorbachev, Dmitry; Tikhonov, Sergey
30
2012
Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications. Zbl 1416.42007
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
29
2019
Smoothness conditions and Fourier series. Zbl 1124.26002
Tikhonov, Sergey
29
2007
Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds. Zbl 1356.35022
Nursultanov, Erlan; Ruzhansky, Michael; Tikhonov, Sergey
27
2016
Net spaces and boundedness of integral operators. Zbl 1248.46025
Nursultanov, Erlan; Tikhonov, Sergey
27
2011
Analysis on \(h\)-harmonics and Dunkl transforms. Edited by Sergey Tikhonov. Zbl 1323.33003
Dai, Feng; Xu, Yuan
26
2015
Extended solution of Boas’ conjecture on Fourier transforms. Zbl 1151.42002
Liflyand, Elijah; Tikhonov, Sergey
26
2008
Sharp Jackson inequalities. Zbl 1136.41003
Dai, F.; Ditzian, Z.; Tikhonov, S.
25
2008
Trigonometric series of Nikol’skii classes. Zbl 1121.42006
Tikhonov, S.
25
2007
Embedding theorems in constructive approximation. Zbl 1172.46023
Simonov, B. V.; Tikhonov, S. Yu.
25
2008
Weighted Fourier inequalities: Boas’ conjecture in \({\mathbb{R}}^{n}\). Zbl 1246.42011
Gorbachev, D.; Liflyand, E.; Tikhonov, S.
25
2011
On sharp constants in Bernstein-Nikolskii inequalities. Zbl 1370.41023
Ganzburg, Michael I.; Tikhonov, Sergey Yu.
23
2017
The Fourier transforms of general monotone functions. Zbl 1297.42009
Liflyand, E.; Tikhonov, S.
23
2009
Mixed moduli of smoothness in \(L_{p}\): a survey. Zbl 1285.26008
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
23
2013
Function spaces of logarithmic smoothness: embeddings and characterizations. Zbl 1512.46001
Domínguez, Óscar; Tikhonov, Sergey
23
2023
Sharp Ul’yanov-type inequalities using fractional smoothness. Zbl 1215.26011
Simonov, Boris; Tikhonov, Sergey
21
2010
Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004
Kolomoitsev, Yurii; Tikhonov, Sergey
20
2020
Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004
Dyachenko, Mikhail; Tikhonov, Sergey
19
2007
A sharp Remez inequality for trigonometric polynomials. Zbl 1280.41011
Nursultanov, E.; Tikhonov, S.
19
2013
Convolution inequalities in Lorentz spaces. Zbl 1235.44012
Nursultanov, Erlan; Tikhonov, Sergey
18
2011
Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\). Zbl 1334.42020
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
17
2016
Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010
Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter
16
2014
Weak type inequalities for moduli of smoothness: The case of limit value parameters. Zbl 1217.41015
Tikhonov, Sergey
16
2010
Entropy numbers and Marcinkiewicz-type discretization. Zbl 1469.41013
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
16
2021
On the uniform convergence of trigonometric series. Zbl 1183.42005
Tikhonov, S. Yu.
15
2007
General monotone sequences and convergence of trigonometric series. Zbl 1167.42303
Dyachenko, M.; Tikhonov, S.
14
2008
Pitt and Boas inequalities for Fourier and Hankel transforms. Zbl 1307.44004
De Carli, L.; Gorbachev, D.; Tikhonov, S.
13
2013
Extending tests for convergence of number series. Zbl 1216.40001
Liflyand, E.; Tikhonov, S.; Zeltser, M.
13
2011
Weighted norm inequalities for integral transforms. Zbl 1410.42013
Gorbachev, Dmitry; Liflyand, Elijah; Tikhonov, Sergey
13
2018
Hardy-Littlewood and Ulyanov inequalities. Zbl 07403469
Kolomoitsev, Yurii; Tikhonov, Sergey
13
2021
Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. Zbl 1317.41019
Temlyakov, Vladimir
12
2015
Nikolskii constants for polynomials on the unit sphere. Zbl 1441.41003
Dai, Feng; Gorbachev, Dmitry; Tikhonov, Sergey
12
2020
A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031
Dyachenko, Mikhail; Tikhonov, Sergey
12
2008
Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003
Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey
12
2010
On the integrability of trigonometric series. Zbl 1136.42003
Tikhonov, S. Yu.
12
2005
Pitt inequalities and restriction theorems for the Fourier transform. Zbl 1381.42018
De Carli, Laura; Gorbachev, Dmitry; Tikhonov, Sergey
12
2017
Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005
Dyachenko, M. I.; Tikhonov, S. Yu.
12
2018
On \(L_1\)-convergence of Fourier series. Zbl 1257.42009
Tikhonov, Sergey
12
2008
On embeddings of function classes defined by constructive characteristics. Zbl 1115.46029
Simonov, Boris V.; Tikhonov, Sergey Yu.
11
2006
Moduli of smoothness of functions and their derivatives. Zbl 1141.26005
Ditzian, Z.; Tikhonov, S.
11
2007
On moduli of smoothness of fractional order. Zbl 1108.26004
Tikhonov, S.
11
2005
Two-sided weighted Fourier inequalities. Zbl 1278.42006
Liflyand, Elijah; Tikhonov, Sergey
11
2012
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
11
2021
Sampling discretization of integral norms. Zbl 1480.65060
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
11
2021
Nikolskii inequality and functional classes on compact Lie groups. Zbl 1339.46038
Nursultanov, E. D.; Ruzhansky, M. V.; Tikhonov, S. Yu.
10
2015
Weighted norm inequalities for convolution and Riesz potential. Zbl 1307.31017
Nursultanov, Erlan; Tikhonov, Sergey
10
2015
Embeddings and characterizations of Lipschitz spaces. Zbl 1458.46023
Domínguez, Óscar; Haroske, Dorothee D.; Tikhonov, Sergey
10
2020
Relations between mixed moduli of smoothness, and embedding theorems for Nikol’skii classes. Zbl 1213.46032
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
10
2010
Ulyanov-type inequalities and generalized Liouville derivatives. Zbl 1213.26010
Tikhonov, Sergey; Trebels, Walter
10
2011
Hardy-Littlewood theorems for trigonometric series with general monotone coefficients. Zbl 1436.42008
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
10
2020
Relations between moduli of smoothness in different metrics. Zbl 1304.41010
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
9
2009
Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
9
2019
Constructive characteristics of mixed moduli of smoothness of positive orders. Zbl 1298.41020
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
8
2012
Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015
Temlyakov, V.; Tikhonov, S.
8
2017
Embedding results in questions of strong approximation by Fourier series. Zbl 1121.42005
Tikhonov, Sergey
8
2006
Weighted Paley-Wiener theorem on the Hilbert transform. (Version avec poids du théorème de Paley-Wiener sur la transformée de Hilbert.) Zbl 1210.42019
Liflyand, Elijah; Tikhonov, Sergey
8
2010
Strong approximation of Fourier series and embedding theorems. Zbl 1120.42002
Tikhonov, Sergey
7
2005
Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
7
2018
Uncertainty principles for eventually constant sign bandlimited functions. Zbl 1450.42006
Gorbachev, Dmitry; Ivanov, Valerii; Tikhonov, Sergey
7
2020
Regularity of the Monge-Ampère equation in Besov’s spaces. Zbl 1290.35098
Kolesnikov, Alexander V.; Tikhonov, Sergey Yu.
7
2014
Wiener’s problem for positive definite functions. Zbl 1402.42011
Gorbachev, D. V.; Tikhonov, S. Yu.
7
2018
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005
Stepanov, Vladimir D.; Tikhonov, Sergey Yu.
7
2011
Smoothness of functions and Fourier coefficients. Zbl 1422.42006
D’yachenko, Mikhaĭl Ivanovich; Mukanov, Askhat Birlesovich; Tikhonov, Sergeĭ Yur’evich
7
2019
Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034
Stepanov, V. D.; Tikhonov, S. Yu.
7
2011
Characteristics of Besov-Nikol’skiĭ class of functions. Zbl 1114.42002
Tikhonov, Sergey
6
2005
Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients. Zbl 1204.42007
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
6
2009
On the kernel of the \((\kappa, a)\)-generalized Fourier transform. Zbl 1528.42016
Gorbachev, Dmitry; Ivanov, Valerii; Tikhonov, Sergey
6
2023
Reverse Hölder’s inequality for spherical harmonics. Zbl 1366.33009
Dai, Feng; Feng, Han; Tikhonov, Sergey
5
2016
Functions with general monotone Fourier coefficients. Zbl 1496.42002
Belov, Aleksandr S.; Dyachenko, Mikhail I.; Tikhonov, Sergei Yu.
5
2021
Wiener’s positive Fourier coefficients theorem in variants of \(L^p\) spaces. Zbl 1204.42012
Ash, J. M.; Tikhonov, S.; Tung, J.
5
2010
Doubling condition at the origin for non-negative positive definite functions. Zbl 1412.42024
Gorbachev, Dmitry; Tikhonov, Sergey
5
2019
On the Besov and Besov-Nikol’skiĭ classes and on estimates for the mixed moduli of smoothness of fractional derivatives. Zbl 1089.46024
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
5
2003
Weak monotonicity concept and its applications. Zbl 1334.40004
Tikhonov, S.; Zeltser, M.
4
2014
Weighted Fourier inequalities in Lebesgue and Lorentz spaces. Zbl 1439.42011
Nursultanov, Erlan; Tikhonov, Sergey
4
2020
Sharp Remez inequality. Zbl 1456.41002
Tikhonov, S.; Yuditskii, P.
4
2020
Norm inequalities for convolution operators. Zbl 1184.42005
Nursultanov, Erlan; Tikhonov, Sergey; Tleukhanova, Nazerke
4
2009
Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084
Mhaskar, H. N.; Tikhonov, S.
4
2012
Hardy-type theorems on Fourier transforms revised. Zbl 1395.42003
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
3
2018
Weighted fractional Bernstein’s inequalities and their applications. Zbl 1350.26022
Dai, Feng; Tikhonov, Sergey
3
2016
Sharp approximation theorems and Fourier inequalities in the Dunkl setting. Zbl 1452.42006
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
3
2020
An inequality of P. L. Ul’yanov. Zbl 1212.26029
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
3
2008
Transformation of Fourier series using power and weakly oscillating sequences. Zbl 1094.42005
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
3
2005
Wiener-Beurling spaces and their properties. Zbl 1440.46025
Nursultanov, Erlan; Tikhonov, Sergey
3
2020
Estimates of the asymptotic Nikolskii constants for spherical polynomials. Zbl 1470.33013
Dai, Feng; Gorbachev, Dmitry; Tikhonov, Sergey
3
2021
Jacobi weights, fractional integration, and sharp Ulyanov inequalities. Zbl 1321.41011
Glazyrina, Polina; Tikhonov, Sergey
2
2015
On two theorems of Lorentz. Zbl 1077.42004
Tikhonov, S. Yu.
2
2005
Norm convolution inequalities in Lebesgue spaces. Zbl 1404.44010
Erlan, Nursultanov; Tikhonov, Sergey; Tleukhanova, Nazerke
2
2018
Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. Zbl 1297.46003
2
2014
Weighted gradient inequalities and unique continuation problems. Zbl 1439.42009
De Carli, Laura; Gorbachev, Dmitry; Tikhonov, Sergey
2
2020
Bernstein inequalities with nondoubling weights. Zbl 1362.26014
Bondarenko, Andrii; Tikhonov, Sergey
2
2017
Sparse grid approximation in weighted Wiener spaces. Zbl 1528.41036
Kolomoitsev, Yurii; Lomako, Tetiana; Tikhonov, Sergey
2
2023
Function spaces of logarithmic smoothness: embeddings and characterizations. Zbl 1512.46001
Domínguez, Óscar; Tikhonov, Sergey
23
2023
On the kernel of the \((\kappa, a)\)-generalized Fourier transform. Zbl 1528.42016
Gorbachev, Dmitry; Ivanov, Valerii; Tikhonov, Sergey
6
2023
Sparse grid approximation in weighted Wiener spaces. Zbl 1528.41036
Kolomoitsev, Yurii; Lomako, Tetiana; Tikhonov, Sergey
2
2023
On the cardinality of lower sets and universal discretization. Zbl 1515.65123
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V. N.; Tikhonov, S.
2
2023
New estimates for the maximal functions and applications. Zbl 1497.42043
Domínguez, Óscar; Tikhonov, Sergey
1
2022
Entropy numbers and Marcinkiewicz-type discretization. Zbl 1469.41013
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
16
2021
Hardy-Littlewood and Ulyanov inequalities. Zbl 07403469
Kolomoitsev, Yurii; Tikhonov, Sergey
13
2021
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
11
2021
Sampling discretization of integral norms. Zbl 1480.65060
Dai, F.; Prymak, A.; Shadrin, A.; Temlyakov, V.; Tikhonov, S.
11
2021
Functions with general monotone Fourier coefficients. Zbl 1496.42002
Belov, Aleksandr S.; Dyachenko, Mikhail I.; Tikhonov, Sergei Yu.
5
2021
Estimates of the asymptotic Nikolskii constants for spherical polynomials. Zbl 1470.33013
Dai, Feng; Gorbachev, Dmitry; Tikhonov, Sergey
3
2021
Weighted Fourier inequalities and boundedness of variation. Zbl 1462.42010
Tikhonov, Sergey Yu.
2
2021
Group actions: entropy, mixing, spectra, and generic properties. Zbl 1489.37003
Stepin, Anatoly; Tikhonov, Sergey
1
2021
Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\). Zbl 1450.41004
Kolomoitsev, Yurii; Tikhonov, Sergey
20
2020
Nikolskii constants for polynomials on the unit sphere. Zbl 1441.41003
Dai, Feng; Gorbachev, Dmitry; Tikhonov, Sergey
12
2020
Embeddings and characterizations of Lipschitz spaces. Zbl 1458.46023
Domínguez, Óscar; Haroske, Dorothee D.; Tikhonov, Sergey
10
2020
Hardy-Littlewood theorems for trigonometric series with general monotone coefficients. Zbl 1436.42008
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
10
2020
Uncertainty principles for eventually constant sign bandlimited functions. Zbl 1450.42006
Gorbachev, Dmitry; Ivanov, Valerii; Tikhonov, Sergey
7
2020
Weighted Fourier inequalities in Lebesgue and Lorentz spaces. Zbl 1439.42011
Nursultanov, Erlan; Tikhonov, Sergey
4
2020
Sharp Remez inequality. Zbl 1456.41002
Tikhonov, S.; Yuditskii, P.
4
2020
Sharp approximation theorems and Fourier inequalities in the Dunkl setting. Zbl 1452.42006
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
3
2020
Wiener-Beurling spaces and their properties. Zbl 1440.46025
Nursultanov, Erlan; Tikhonov, Sergey
3
2020
Weighted gradient inequalities and unique continuation problems. Zbl 1439.42009
De Carli, Laura; Gorbachev, Dmitry; Tikhonov, Sergey
2
2020
Smoothness of functions versus smoothness of approximation processes. Zbl 1469.41015
Kolomoitsev, Yu. S.; Tikhonov, S. Yu.
2
2020
Nikolskii inequality for lacunary spherical polynomials. Zbl 1454.33012
Dai, Feng; Gorbachev, Dmitry; Tikhonov, Sergey
1
2020
Integral norm discretization and related problems. Zbl 07179262
Dai, F.; Prymak, A.; Temlyakov, V. N.; Tikhonov, S. Yu.
33
2019
Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications. Zbl 1416.42007
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
29
2019
Uniform convergence of trigonometric series with general monotone coefficients. Zbl 1427.42003
Dyachenko, Mikhail; Mukanov, Askhat; Tikhonov, Sergey
9
2019
Smoothness of functions and Fourier coefficients. Zbl 1422.42006
D’yachenko, Mikhaĭl Ivanovich; Mukanov, Askhat Birlesovich; Tikhonov, Sergeĭ Yur’evich
7
2019
Doubling condition at the origin for non-negative positive definite functions. Zbl 1412.42024
Gorbachev, Dmitry; Tikhonov, Sergey
5
2019
Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 – June 3, 2016. Zbl 1414.41001
Dũng, Dinh; Temlyakov, Vladimir; Ullrich, Tino
97
2018
Weighted norm inequalities for integral transforms. Zbl 1410.42013
Gorbachev, Dmitry; Liflyand, Elijah; Tikhonov, Sergey
13
2018
Smoothness and asymptotic properties of functions with general monotone Fourier coefficients. Zbl 1412.42005
Dyachenko, M. I.; Tikhonov, S. Yu.
12
2018
Hardy-Littlewood and Pitt’s inequalities for Hausdorff operators. Zbl 1409.42006
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
7
2018
Wiener’s problem for positive definite functions. Zbl 1402.42011
Gorbachev, D. V.; Tikhonov, S. Yu.
7
2018
Hardy-type theorems on Fourier transforms revised. Zbl 1395.42003
Dyachenko, M.; Nursultanov, E.; Tikhonov, S.
3
2018
Norm convolution inequalities in Lebesgue spaces. Zbl 1404.44010
Erlan, Nursultanov; Tikhonov, Sergey; Tleukhanova, Nazerke
2
2018
On sharp constants in Bernstein-Nikolskii inequalities. Zbl 1370.41023
Ganzburg, Michael I.; Tikhonov, Sergey Yu.
23
2017
Pitt inequalities and restriction theorems for the Fourier transform. Zbl 1381.42018
De Carli, Laura; Gorbachev, Dmitry; Tikhonov, Sergey
12
2017
Remez-type and Nikol’skii-type inequalities: general relations and the hyperbolic cross polynomials. Zbl 1381.41015
Temlyakov, V.; Tikhonov, S.
8
2017
Bernstein inequalities with nondoubling weights. Zbl 1362.26014
Bondarenko, Andrii; Tikhonov, Sergey
2
2017
Pitt’s inequalities and uncertainty principle for generalized Fourier transform. Zbl 1404.42019
Gorbachev, Dmitry V.; Ivanov, Valerii I.; Tikhonov, Sergey Yu.
47
2016
Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds. Zbl 1356.35022
Nursultanov, Erlan; Ruzhansky, Michael; Tikhonov, Sergey
27
2016
Sharp Pitt inequality and logarithmic uncertainty principle for Dunkl transform in \(L^2\). Zbl 1334.42020
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
17
2016
Reverse Hölder’s inequality for spherical harmonics. Zbl 1366.33009
Dai, Feng; Feng, Han; Tikhonov, Sergey
5
2016
Weighted fractional Bernstein’s inequalities and their applications. Zbl 1350.26022
Dai, Feng; Tikhonov, Sergey
3
2016
Methods of Fourier analysis and approximation theory. Collected papers based on the presentations at the 9th ISAAC congress, section “Approximation theory and Fourier analysis”, Crakow, Poland, August 5–9, 2013 and at the conference on Fourier analysis and approximation theory in the CRM, Barcelona, Spain, November 4–8, 2013. Zbl 1343.42002
1
2016
Some problems in Fourier analysis and approximation theory. Zbl 1343.42001
Ruzhansky, Michael; Tikhonov, Sergey
1
2016
Analysis on \(h\)-harmonics and Dunkl transforms. Edited by Sergey Tikhonov. Zbl 1323.33003
Dai, Feng; Xu, Yuan
26
2015
Sparse approximation with bases. Based on advanced courses given at the Centre de Recerca Matemàtica, Barcelona, Spain, November 2011. Edited by Sergey Tikhonov. Zbl 1317.41019
Temlyakov, Vladimir
12
2015
Nikolskii inequality and functional classes on compact Lie groups. Zbl 1339.46038
Nursultanov, E. D.; Ruzhansky, M. V.; Tikhonov, S. Yu.
10
2015
Weighted norm inequalities for convolution and Riesz potential. Zbl 1307.31017
Nursultanov, Erlan; Tikhonov, Sergey
10
2015
Jacobi weights, fractional integration, and sharp Ulyanov inequalities. Zbl 1321.41011
Glazyrina, Polina; Tikhonov, Sergey
2
2015
Ulyanov-type inequalities between Lorentz-Zygmund spaces. Zbl 1316.41010
Gogatishvili, Amiran; Opic, Bohumír; Tikhonov, Sergey; Trebels, Walter
16
2014
Regularity of the Monge-Ampère equation in Besov’s spaces. Zbl 1290.35098
Kolesnikov, Alexander V.; Tikhonov, Sergey Yu.
7
2014
Weak monotonicity concept and its applications. Zbl 1334.40004
Tikhonov, S.; Zeltser, M.
4
2014
Variable Lebesgue spaces and hyperbolic systems. Based on the presentations at two courses given under the title ‘Advanced courses on approximation theory and Fourier analysis’, Barcelona, Spain, November 7–11, 2011. Zbl 1297.46003
2
2014
Mixed moduli of smoothness in \(L_{p}\): a survey. Zbl 1285.26008
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
23
2013
A sharp Remez inequality for trigonometric polynomials. Zbl 1280.41011
Nursultanov, E.; Tikhonov, S.
19
2013
Pitt and Boas inequalities for Fourier and Hankel transforms. Zbl 1307.44004
De Carli, L.; Gorbachev, D.; Tikhonov, S.
13
2013
Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates. Zbl 1252.42011
Gorbachev, Dmitry; Tikhonov, Sergey
30
2012
Two-sided weighted Fourier inequalities. Zbl 1278.42006
Liflyand, Elijah; Tikhonov, Sergey
11
2012
Constructive characteristics of mixed moduli of smoothness of positive orders. Zbl 1298.41020
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
8
2012
Wiener type theorems for Jacobi series with nonnegative coefficients. Zbl 1250.42084
Mhaskar, H. N.; Tikhonov, S.
4
2012
Trigonometric series with lacunary-monotone coefficients. Zbl 1266.42014
Dyachenko, M. I.; Tikhonov, S.
1
2012
A concept of general monotonicity and applications. Zbl 1223.26017
Liflyand, E.; Tikhonov, S.
46
2011
Net spaces and boundedness of integral operators. Zbl 1248.46025
Nursultanov, Erlan; Tikhonov, Sergey
27
2011
Weighted Fourier inequalities: Boas’ conjecture in \({\mathbb{R}}^{n}\). Zbl 1246.42011
Gorbachev, D.; Liflyand, E.; Tikhonov, S.
25
2011
Convolution inequalities in Lorentz spaces. Zbl 1235.44012
Nursultanov, Erlan; Tikhonov, Sergey
18
2011
Extending tests for convergence of number series. Zbl 1216.40001
Liflyand, E.; Tikhonov, S.; Zeltser, M.
13
2011
Ulyanov-type inequalities and generalized Liouville derivatives. Zbl 1213.26010
Tikhonov, Sergey; Trebels, Walter
10
2011
Two power-weight inequalities for the Hilbert transform on the cones of monotone functions. Zbl 1237.44005
Stepanov, Vladimir D.; Tikhonov, Sergey Yu.
7
2011
Two-weight inequalities for the Hilbert transform of monotone functions. Zbl 1253.26034
Stepanov, V. D.; Tikhonov, S. Yu.
7
2011
Sharp Ul’yanov-type inequalities using fractional smoothness. Zbl 1215.26011
Simonov, Boris; Tikhonov, Sergey
21
2010
Weak type inequalities for moduli of smoothness: The case of limit value parameters. Zbl 1217.41015
Tikhonov, Sergey
16
2010
Uniform convergence and integrability of Fourier integrals. Zbl 1201.42003
Dyachenko, Mikhail; Liflyand, Elijah; Tikhonov, Sergey
12
2010
Relations between mixed moduli of smoothness, and embedding theorems for Nikol’skii classes. Zbl 1213.46032
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
10
2010
Weighted Paley-Wiener theorem on the Hilbert transform. (Version avec poids du théorème de Paley-Wiener sur la transformée de Hilbert.) Zbl 1210.42019
Liflyand, Elijah; Tikhonov, Sergey
8
2010
Wiener’s positive Fourier coefficients theorem in variants of \(L^p\) spaces. Zbl 1204.42012
Ash, J. M.; Tikhonov, S.; Tung, J.
5
2010
Integrability and continuity of functions represented by trigonometric series: coefficients criteria. Zbl 1169.42001
Dyachenko, Mikhail; Tikhonov, Sergey
32
2009
The Fourier transforms of general monotone functions. Zbl 1297.42009
Liflyand, E.; Tikhonov, S.
23
2009
Relations between moduli of smoothness in different metrics. Zbl 1304.41010
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
9
2009
Relations for moduli of smoothness in various metrics: functions with restrictions on the Fourier coefficients. Zbl 1204.42007
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
6
2009
Norm inequalities for convolution operators. Zbl 1184.42005
Nursultanov, Erlan; Tikhonov, Sergey; Tleukhanova, Nazerke
4
2009
Best approximation and moduli of smoothness: Computation and equivalence theorems. Zbl 1215.42002
Tikhonov, Sergey
46
2008
Extended solution of Boas’ conjecture on Fourier transforms. Zbl 1151.42002
Liflyand, Elijah; Tikhonov, Sergey
26
2008
Sharp Jackson inequalities. Zbl 1136.41003
Dai, F.; Ditzian, Z.; Tikhonov, S.
25
2008
Embedding theorems in constructive approximation. Zbl 1172.46023
Simonov, B. V.; Tikhonov, S. Yu.
25
2008
General monotone sequences and convergence of trigonometric series. Zbl 1167.42303
Dyachenko, M.; Tikhonov, S.
14
2008
A Hardy-Littlewood theorem for multiple series. Zbl 1283.42031
Dyachenko, Mikhail; Tikhonov, Sergey
12
2008
On \(L_1\)-convergence of Fourier series. Zbl 1257.42009
Tikhonov, Sergey
12
2008
An inequality of P. L. Ul’yanov. Zbl 1212.26029
Potapov, M. K.; Simonov, B. V.; Tikhonov, S. Yu.
3
2008
Addendum to “Trigonometric series of Nikol’skii classes”. Zbl 1212.42011
Tikhonov, S.
1
2008
Trigonometric series with general monotone coefficients. Zbl 1106.42003
Tikhonov, S.
86
2007
Smoothness conditions and Fourier series. Zbl 1124.26002
Tikhonov, Sergey
29
2007
Trigonometric series of Nikol’skii classes. Zbl 1121.42006
Tikhonov, S.
25
2007
Convergence of trigonometric series with general monotone coefficients. Zbl 1141.42004
Dyachenko, Mikhail; Tikhonov, Sergey
19
2007
On the uniform convergence of trigonometric series. Zbl 1183.42005
Tikhonov, S. Yu.
15
2007
Moduli of smoothness of functions and their derivatives. Zbl 1141.26005
Ditzian, Z.; Tikhonov, S.
11
2007
On embeddings of function classes defined by constructive characteristics. Zbl 1115.46029
Simonov, Boris V.; Tikhonov, Sergey Yu.
11
2006
...and 14 more Documents
all top 5

Cited by 407 Authors

70 Tikhonov, Sergey Yur’evich
31 Volosivets, Sergeĭ Sergeevich
27 Gorbachëv, Dmitriĭ Viktorovich
24 Simonov, Boris Vital’evich
21 Mejjaoli, Hatem
21 Temlyakov, Vladimir Nikolaevich
20 Liflyand, Elijah
19 Nursultanov, Erlan D.
19 Potapov, Mikhaĭl Konstantinovich
18 Dai, Feng
18 Szal, Bogdan
17 D’yachenko, Mikhaĭl Ivanovich
16 Ruzhansky, Michael V.
14 Ivanov, Valerĭ Ivanovich
13 Daher, Radouan
12 Ganzburg, Michael Iosifovich
11 Kolomoitsev, Yurii S.
11 Prymak, Andriy V.
10 Dominguez, Oscar
8 Ben Saïd, Salem
8 Cardona, Duván
8 Ditzian, Zeev
7 Kofanov, V. A.
7 Leindler, László
7 Zhou, Songping
6 Negzaoui, Selma
6 Parui, Sanjay
6 Runovski, Konstantin Vsevolodovich
6 Stepanov, Vladimir Dmitrievich
6 Tleukhanova, Nazerke Tulekovna
6 Yao, Fengping
5 Akgun, Ramazan
5 Anoop, V. P.
5 Arestov, Vitaliĭ Vladimirovich
5 Debernardi, Alberto
5 Deikalova, Marina Valer’evna
5 Golubov, Boris Ivanovich
5 Kórus, Péter
5 Kosov, Egor D.
5 Kumar, Vishvesh
5 Trebels, Walter
5 Ullrich, Tino
4 Abdullayev, Fahreddin G.
4 Akylzhanov, Rauan Kh.
4 Bashirova, Anar Nabievna
4 Ghobber, Saifallah
4 Gogatishvili, Amiran
4 Jafarov, Sadulla Z.
4 Kalidolday, Aitolkyn Hunvaikyzy
4 Łenski, Włodzimierz
4 Limonova, Irina V.
4 Opic, Bohumír
4 Persson, Lars-Erik
4 Pesenson, Isaac Zalmanovich
4 Restrepo, Joel Esteban
4 Skopina, Mariya Aleksandrovna
4 Yu, Dansheng
3 Adcock, Ben
3 Aliev, Rashid Avazaga
3 Booton, Barry
3 Doktorski, Leo R. Ya.
3 Duong, Dao Van
3 Fei, Minggang
3 Gaál, Marcell
3 Haroske, Dorothee D.
3 Imron, Moch Aruman
3 Jordão, Thaís
3 Kokilashvili, Vakhtang
3 Kopezhanova, Aĭgerim Nurzhanovna
3 Krasniqi, Xhevat Z.
3 Kroó, András
3 Kubiak, Mateusz
3 Lomako, Tetiana
3 Loualid, El Mehdi
3 Martyanov, Ivan Anatol’evich
3 Mondal, Shyam Swarup
3 Nursultanov, Erlan Dautbekovich
3 Saadi, Faouaz
3 Shah, Firdous Ahmad
3 Shambilova, Guldarya Ermakovna
3 Suragan, Durvudkhan
3 Teng, Wentao
3 Tyr, Othman
3 Tyuleneva, Anna Anatol’evna
2 Amrahova, Aynur F.
2 Artamonov, Sergeĭ Yurievich
2 Berkak, El Mehdi
2 Boggarapu, Pradeep
2 Boubatra, Mohamed Amine
2 Burenkov, Viktor Ivanovich
2 Cardenas, Juan M.
2 Ciaurri, Óscar
2 Cobos, Fernando
2 Costarelli, Danilo
2 De Carli, Laura
2 de Nápoli, Pablo Luis
2 Debernardi Pinos, Alberto
2 Deleaval, Luc
2 Delgado, Julio
2 Draganov, Borislav R.
...and 307 more Authors
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Cited in 166 Serials

42 Journal of Mathematical Analysis and Applications
29 Journal of Approximation Theory
28 Mathematical Notes
23 Analysis Mathematica
22 The Journal of Fourier Analysis and Applications
18 Acta Mathematica Hungarica
18 Proceedings of the Steklov Institute of Mathematics
18 Journal of Pseudo-Differential Operators and Applications
14 Ukrainian Mathematical Journal
14 Constructive Approximation
13 Journal of Mathematical Sciences (New York)
12 Moscow University Mathematics Bulletin
10 Integral Transforms and Special Functions
8 Complex Analysis and Operator Theory
7 Journal of Functional Analysis
7 Results in Mathematics
7 Mathematical Inequalities & Applications
7 Chebyshevskiĭ Sbornik
7 Eurasian Mathematical Journal
6 Proceedings of the American Mathematical Society
6 Journal of Complexity
6 Russian Mathematics
6 Journal of Inequalities and Applications
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Complex Variables and Elliptic Equations
5 Mathematische Nachrichten
5 Mathematische Zeitschrift
5 Siberian Mathematical Journal
5 Doklady Mathematics
5 Mediterranean Journal of Mathematics
5 Analysis and Mathematical Physics
4 Russian Mathematical Surveys
4 Monatshefte für Mathematik
4 The Journal of Geometric Analysis
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Sbornik: Mathematics
4 Abstract and Applied Analysis
3 Journal d’Analyse Mathématique
3 Mathematical Methods in the Applied Sciences
3 Revista de la Unión Matemática Argentina
3 Transactions of the American Mathematical Society
3 Potential Analysis
3 Calculus of Variations and Partial Differential Equations
3 Applied and Computational Harmonic Analysis
3 Turkish Journal of Mathematics
3 Advances in Applied Clifford Algebras
3 Bulletin des Sciences Mathématiques
3 International Journal of Wavelets, Multiresolution and Information Processing
3 Transactions of A. Razmadze Mathematical Institute
3 Advances in Operator Theory
2 Indian Journal of Pure & Applied Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Studia Mathematica
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Canadian Journal of Mathematics
2 Collectanea Mathematica
2 Colloquium Mathematicum
2 Demonstratio Mathematica
2 Functional Analysis and its Applications
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Publications de l’Institut Mathématique. Nouvelle Série
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Indagationes Mathematicae. New Series
2 The Journal of Analysis
2 Applied Mathematics. Series B (English Edition)
2 St. Petersburg Mathematical Journal
2 The Ramanujan Journal
2 Communications on Pure and Applied Analysis
2 Computational Methods and Function Theory
2 Analysis and Applications (Singapore)
2 The Australian Journal of Mathematical Analysis and Applications
2 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
2 Science China. Mathematics
2 Communications in Mathematics
2 Forum of Mathematics, Sigma
2 Journal of Classical Analysis
2 Problemy Analiza. Issues of Analysis
2 Journal of Function Spaces
2 Ural Mathematical Journal
1 Bulletin of the Australian Mathematical Society
1 Linear and Multilinear Algebra
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Acta Scientiarum Mathematicarum
1 The Annals of Probability
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Journal of Multivariate Analysis
1 Manuscripta Mathematica
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
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