Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Phone: +7 34 93 586 85 22
Fax: +7 34 93 581 22 02
E-mail:
Keywords: Fourier series/transforms, inequalities in approximation theory, function spaces, integral operators, embedding theorems.
UDC: 517, 517.5, 517.518.23, 517.518.83
MSC: 41, 42

Subject:

Harmonic analysis, approximation theory.

Main publications:

1. F. Dai, Z. Ditzian, S. Tikhonov, “Sharp Jackson inequalities”, J. Approx. Theory, 151:1 (2008), 86–112      
2. S. Tikhonov, “Trigonometric series with general monotone coefficients”, J. Math. Anal. Appl., 326:1 (2007), 721–735      
3. B. V. Simonov, S. Yu. Tikhonov, “Teoremy vlozheniya v konstruktivnoi teorii priblizhenii”, Matem. sb., 199:9 (2008), 107–148  
4. Z. Ditzian, S. Tikhonov, “Ul'yanov and Nikol'skii-type inequalitie”, J. Approx. Theory, 133:3 (2005), 100–133      
5. S. Tikhonov, “Weak Type Inequalities for Moduli of Smoothness: The Case of Limit Value Parameters”, J. Fourier Anal. Appl., 16 (2010), 590–608

Publications in Math-Net.Ru

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Universitat Autònoma de Barcelona
• Institució Catalana de Recerca i Estudis Avançats, Barcelona
• Scuola Normale Superiore
• Centre de Recerca Matemàtica, Barcelona
• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics