Trigonometric series with general monotone coefficients S Tikhonov Journal of mathematical analysis and applications 326 (1), 721-735, 2007 | 143 | 2007 |

Hyperbolic cross approximation D Dũng, VN Temlyakov, T Ullrich arXiv preprint arXiv:1601.03978, 2016 | 122 | 2016 |

Ul’yanov and Nikol'skii-type inequalities Z Ditzian, S Tikhonov Journal of Approximation Theory 133 (1), 100-133, 2005 | 72 | 2005 |

Best approximation and moduli of smoothness: computation and equivalence theorems S Tikhonov Journal of Approximation Theory 153 (1), 19-39, 2008 | 64 | 2008 |

A concept of general monotonicity and applications E Liflyand, S Tikhonov Mathematische Nachrichten 284 (8‐9), 1083-1098, 2011 | 62 | 2011 |

Extending tests for convergence of number series E Liflyand, S Tikhonov, M Zeltser Journal of Mathematical Analysis and Applications 377, 194-206, 2011 | 62 | 2011 |

Mixed moduli of smoothness in Lp, 1< p<∞: a survey MK Potapov, BV Simonov, SY Tikhonov Surveys in Approximation Theory 8 (18), 2013 | 48 | 2013 |

Integrability and continuity of functions represented by trigonometric series: coefficients criteria M Dyachenko, S Tikhonov Studia mathematica 193, 285-306, 2009 | 48 | 2009 |

Sharp Jackson inequalities F Dai, Z Ditzian, S Tikhonov Journal of Approximation Theory 151 (1), 86-112, 2008 | 48 | 2008 |

Sharp Ul’yanov-type inequalities using fractional smoothness B Simonov, S Tikhonov Journal of Approximation Theory 162 (9), 1654-1684, 2010 | 44 | 2010 |

Extended solution of Boas' conjecture on Fourier transforms E Liflyand, S Tikhonov Comptes Rendus Mathematique 346 (21-22), 1137-1142, 2008 | 41 | 2008 |

Embedding theorems in constructive approximation BV Simonov, SY Tikhonov Sbornik: Mathematics 199 (9), 1367, 2008 | 37 | 2008 |

On moduli of smoothness of fractional order. S Tikhonov Real Analysis Exchange 30 (2), 507-518, 2004 | 37 | 2004 |

The Fourier transforms of general monotone functions E Liflyand, S Tikhonov Analysis and mathematical physics, 377-395, 2009 | 33 | 2009 |

A sharp Remez inequality for trigonometric polynomials E Nursultanov, S Tikhonov Constructive Approximation 38 (1), 101-132, 2013 | 31 | 2013 |

Net spaces and boundedness of integral operators E Nursultanov, S Tikhonov Journal of Geometric Analysis 21 (4), 950-981, 2011 | 31 | 2011 |

Convolution inequalities in Lorentz spaces E Nursultanov, S Tikhonov Journal of Fourier Analysis and Applications 17 (3), 486-505, 2011 | 31 | 2011 |

Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds E Nursultanov, M Ruzhansky, S Tikhonov arXiv preprint arXiv:1403.3430, 2014 | 29 | 2014 |

Weighted Fourier inequalities: Boas’ conjecture in ℝ^{ n }D Gorbachev, E Liflyand, S Tikhonov Journal d'Analyse Mathématique 114 (1), 99, 2011 | 29 | 2011 |

Moduli of smoothness of functions and their derivatives Z Ditzian, S Tikhonov Studia Mathematica 180 (2), 143-160, 2007 | 29 | 2007 |