Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
30.11.1962
E-mail: , ;
Keywords: orthogonal and extremal polynomials and rational functions; inequalities for derivatives; interpolation; rational approximation.
Main publications:
Lukashov A. L. Chebyshev–Markov algebraic fractions on several segments. (Russian) Anal. Math. 24 (1998), no. 2, 111–130, MR1618162 (99g:26033).
Lukashov A. L. Rational interpolation processes on two intervals. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1998, no. 5, 35–42; translation in Russian Math. (Iz. VUZ) 42 (1998), no. 5, 33–40, MR1639170 (99g:41017).
Lukashov A. L., Peherstorfer F. Automorphic orthogonal and extremal polynomials. Canad. J. Math. 55 (2003), no. 3, 576–608, MR1980615 (2004c:42051).
Lukashov A. L. Inequalities for the derivatives of rational functions on several intervals. (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 68 (2004), no. 3, 115–138; translation in Izv. Math. 68 (2004), no. 3, 543–565, MR2069196 (2006j:26010).
Lukashov A. L. Circular parameters of polynomials that are orthogonal on several arcs of the unit circle. (Russian) Mat. Sb. 195 (2004), no. 11, 95–118; translation in Sb. Math. 195 (2004), no. 11–12, 1639–1663, MR2127461 (2006d:42046).
