| Hyperbolic cross approximation D Dũng, V Temlyakov, T Ullrich Springer, 2018 | 251 | 2018 |
| Trigonometric series with general monotone coefficients S Tikhonov Journal of Mathematical Analysis and Applications 326 (1), 721-735, 2007 | 210 | 2007 |
| Best approximation and moduli of smoothness: computation and equivalence theorems S Tikhonov Journal of Approximation Theory 153 (1), 19-39, 2008 | 96 | 2008 |
| A concept of general monotonicity and applications E Liflyand, S Tikhonov Mathematische Nachrichten 284 (8‐9), 1083-1098, 2011 | 93 | 2011 |
| Hyperbolic cross approximation V Temlyakov, T Ullrich | 92 | 2016 |
| Ul’yanov and Nikol'skii-type inequalities Z Ditzian, S Tikhonov Journal of Approximation Theory 133 (1), 100-133, 2005 | 92 | 2005 |
| Pitt's inequalities and uncertainty principle for generalized Fourier transform DV Gorbachev, VI Ivanov, SY Tikhonov International Mathematics Research Notices 2016 (23), 7179-7200, 2016 | 80 | 2016 |
| Positive -Bounded Dunkl-Type Generalized Translation Operator and Its Applications DV Gorbachev, VI Ivanov, SY Tikhonov Constructive approximation 49 (3), 555-605, 2019 | 73 | 2019 |
| Integrability and continuity of functions represented by trigonometric series: coefficients criteria M Dyachenko, S Tikhonov Studia mathematica 193, 285-306, 2009 | 65 | 2009 |
| Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates D Gorbachev, S Tikhonov Journal of Approximation Theory 164 (9), 1283-1312, 2012 | 61 | 2012 |
| Sharp Jackson inequalities F Dai, Z Ditzian, S Tikhonov Journal of Approximation Theory 151 (1), 86-112, 2008 | 61 | 2008 |
| Function spaces of logarithmic smoothness: embeddings and characterizations Ó Domínguez, S Tikhonov American Mathematical Society 282 (1393), 2023 | 60* | 2023 |
| Mixed moduli of smoothness in Lp, 1< p<∞: a survey MK Potapov, BV Simonov, SY Tikhonov Surv. Approx. Theory 8, 1-57, 2013 | 60 | 2013 |
| Sharp Ul’yanov-type inequalities using fractional smoothness B Simonov, S Tikhonov Journal of Approximation Theory 162 (9), 1654-1684, 2010 | 60 | 2010 |
| Net spaces and boundedness of integral operators E Nursultanov, S Tikhonov Journal of Geometric Analysis 21, 950-981, 2011 | 58 | 2011 |
| Integral norm discretization and related problems F Dai, A Prymak, VN Temlyakov, SY Tikhonov Russian Mathematical Surveys 74 (4), 579, 2019 | 57 | 2019 |
| Embedding theorems in constructive approximation BV Simonov, SY Tikhonov Sbornik: Mathematics 199 (9), 1367, 2008 | 57 | 2008 |
| Analysis on h-harmonics and Dunkl transforms F Dai, Y Xu, S Tikhonov Springer Basel, 2015 | 56 | 2015 |
| Extended solution of Boas' conjecture on Fourier transforms E Liflyand, S Tikhonov Comptes Rendus Mathematique 346 (21-22), 1137-1142, 2008 | 54 | 2008 |
| A sharp Remez inequality for trigonometric polynomials E Nursultanov, S Tikhonov Constructive Approximation 38 (1), 101-132, 2013 | 51 | 2013 |
