Tikhonov Sergei Yur'evich

Publications in Math-Net.Ru

1. On the cardinality of lower sets and universal discretization
   
   J. Complexity, 76 (2023),  101726–16
2. Piecewise General Monotone Functions and the Hardy–Littlewood Theorem
   
   Trudy Mat. Inst. Steklova, 319 (2022),  120–133
3. Sampling discretization of integral norms
   
   Constr. Approx., 54:3 (2021),  455–471
4. Entropy numbers and Marcinkiewicz-type discretization
   
   J. Funct. Anal., 281:6 (2021),  109090–25
5. Functions with general monotone Fourier coefficients
   
   Uspekhi Mat. Nauk, 76:6(462) (2021),  3–70
6. Weighted Fourier Inequalities and Boundedness of Variation
   
   Trudy Mat. Inst. Steklova, 312 (2021),  294–312
7. Integral norm discretization and related problems
   
   Uspekhi Mat. Nauk, 74:4(448) (2019),  3–58
8. Smoothness of functions and Fourier coefficients
   
   Mat. Sb., 210:7 (2019),  94–119
9. Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials
   
   Constr. Approx., 46:3 (2017),  593–615
10. Nikolskii Inequality and Functional Classes on Compact Lie Groups
    
    Funktsional. Anal. i Prilozhen., 49:3 (2015),  83–87
11. Global and local smoothness of the Hilbert transforms
    
    Trudy Mat. Inst. Steklova, 280 (2013),  175–187
12. Trigonometric series with lacunary-monotone coefficients
    
    Eurasian Math. J., 3:2 (2012),  31–52
13. Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
    
    Trudy Mat. Inst. Steklova, 269 (2010),  204–214
14. Relations between moduli of smoothness in different metrics
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3,  17–25
15. Embedding theorems in constructive approximation
    
    Mat. Sb., 199:9 (2008),  107–148
16. An inequality of P. L. Ul’yanov
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 3,  33–36
17. On the Uniform Convergence of Trigonometric Series
    
    Mat. Zametki, 81:2 (2007),  304–310
18. On two theorems of Lorentz
    
    Izv. RAN. Ser. Mat., 69:1 (2005),  165–178
19. On the Integrability of Trigonometric Series
    
    Mat. Zametki, 78:3 (2005),  476–480
20. Transformation of Fourier series using power and weakly oscillating sequences
    
    Mat. Zametki, 77:1 (2005),  99–116
21. Generalized Lipschitz Classes and Fourier Coefficients
    
    Mat. Zametki, 75:6 (2004),  947–951
22. Embedding theorems for Besov–Nikol'skii and Weyl–Nikol'skii classes in a mixed metric
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 5,  18–26
23. Remark on the order of approximation by Steklov means
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 3,  57–58
24. On the Besov and Besov–Nikol'skii Classes and on Estimates for the Mixed Moduli of Smoothness of Fractional Derivatives
    
    Trudy Mat. Inst. Steklova, 243 (2003),  244–256
25. Fourier coefficients of functions in the Besov–Nikolskii class
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 6,  26–35
26. Estimates for the moduli of smoothness of a transformed Fourier series
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 5,  58–61


27. Mikhail Konstantinovich Potapov (on his 90th birthday)
    
    Uspekhi Mat. Nauk, 76:2(458) (2021),  185–186