Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Phone: +994 (50) 214 29 01
E-mail: Keywords: problem of approximation,
curve arches,
complex plane,
integrated metrics,
inequalities of type of Bernstein,
inequalities of type of Nikolsky.
UDC: 517.5
MSC: 30E10, 41A10, 41A17
Subject:
S. N. Bernstein Type Estimations in the Mean on the Curves in a Complex Plane, Problems on the curves in a complex plane related with classic approximation theorems, Estimations of type Dzjadyk–Tamrazov on curves in the complex plane in the metrics $L_p$.
Main publications:
J. I. Mamedkhanov, I. B. Dadashova, “Analogue of Jackson–Bernstein theorem in $L_p$ on closed curves in the complex plane. II”: Begehr, H. G. W. (ed.) et al., Further progress in analysis, Proceedings of the 6th international ISAAC congress (Ankara, Turkey, August 13–18, 2007), World Scientific, Hackensack, NJ, 2009, 260–267
J. I. Mamedkhanov, “Criterion for classes of curves in a complex plane, on which classical approximation theorems are valid”, International Conference on Applied Mathematics and Approximation Theory 2008 dedicated Honouring 80th Birthday of P. L. Butzer (AMAT08) (The University of Memphis, Memphis, TN, USA, October 11–13), 2008, 42
J. I. Mamedkhanov, I. B. Dadashova, “S. N. Bernstein Type Estimations in the Mean on the Curves in a Complex Plane”, Abstract and Applied Analysis, 2009 (2009), Article ID 165194, 19 ñ.
Dzh. I. Mamedkhanov, “O neravenstvakh raznykh metrik tipa S. M. Nikolskogo”, Tr. IMM UrO RAN, 18, № 4, 2012, 240–248
J. I. Mamedkhanov, “Problems on the curves in a complex plane related with classic approximation theorems”, 6th Maratea Conference FAAT 2009 (Acquafredda di Maratea, September 24–30), 2009, 92–93
