Trigonometric series with general monotone coefficients S Tikhonov Journal of Mathematical Analysis and Applications 326 (1), 721-735, 2007 | 141 | 2007 |

Hyperbolic cross approximation D Dũng, VN Temlyakov, T Ullrich arXiv preprint arXiv:1601.03978, 2016 | 78* | 2016 |

Ul’yanov and Nikol'skii-type inequalities Z Ditzian, S Tikhonov Journal of Approximation Theory 133 (1), 100-133, 2005 | 68 | 2005 |

Extending tests for convergence of number series E Liflyand, S Tikhonov, M Zeltser Journal of Mathematical Analysis and Applications 377 (1), 194-206, 2011 | 64 | 2011 |

Best approximation and moduli of smoothness: computation and equivalence theorems S Tikhonov Journal of Approximation Theory 153 (1), 19-39, 2008 | 61 | 2008 |

A concept of general monotonicity and applications E Liflyand, S Tikhonov Mathematische Nachrichten 284 (8‐9), 1083-1098, 2011 | 60 | 2011 |

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 | 45 | 2008 |

Sharp Ul’yanov-type inequalities using fractional smoothness B Simonov, S Tikhonov Journal of Approximation Theory 162 (9), 1654-1684, 2010 | 42 | 2010 |

Mixed moduli of smoothness in Lp, 1< p<∞: a survey MK Potapov, BV Simonov, SY Tikhonov Surveys in Approximation Theory 8 (18), 2013 | 41 | 2013 |

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 | 34 | 2008 |

On moduli of smoothness of fractional order. S Tikhonov Real Analysis Exchange 30 (2), 507-518, 2004 | 34 | 2004 |

Net spaces and boundedness of integral operators E Nursultanov, S Tikhonov Journal of Geometric Analysis 21 (4), 950-981, 2011 | 32 | 2011 |

A sharp Remez inequality for trigonometric polynomials E Nursultanov, S Tikhonov Constructive Approximation 38 (1), 101-132, 2013 | 28 | 2013 |

Convolution inequalities in Lorentz spaces E Nursultanov, S Tikhonov Journal of Fourier Analysis and Applications 17 (3), 486-505, 2011 | 28 | 2011 |

The Fourier transforms of general monotone functions E Liflyand, S Tikhonov Analysis and mathematical physics, 377-395, 2009 | 28 | 2009 |

Moduli of smoothness of functions and their derivatives Z Ditzian, S Tikhonov Studia Mathematica 180 (2), 143-160, 2007 | 28 | 2007 |

A Hardy–Littlewood theorem for multiple series M Dyachenko, S Tikhonov Journal of Mathematical Analysis and Applications 339 (1), 503-510, 2008 | 27 | 2008 |

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 | 26 | 2014 |