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).
A. L. Lukashov, S. V. Tyshkevich, “Extremal rational functions on several arcs of the unit circle with zeros on these arcs”, Izv. Saratov Univ. Math. Mech. Inform., 9:1 (2009), 8–13
A. L. Lukashov, “Asymptotics of the averages of orthogonal polynomials on two intervals”, Sibirsk. Mat. Zh., 50:3 (2009), 596–602; Siberian Math. J., 50:3 (2009), 474–480
2008
3.
A. L. Lukashov, “Additions to the Principle of Harmonic Nevanlinna Measure”, Mat. Zametki, 84:4 (2008), 632–633; Math. Notes, 84:4 (2008), 589–591
A. L. Lukashov, “Estimates for derivatives of rational functions and the fourth Zolotarev problem”, Algebra i Analiz, 19:2 (2007), 122–130; St. Petersburg Math. J., 19:2 (2008), 253–259
A. L. Lukashov, “Inequalities for derivatives of rational functions on several intervals”, Izv. RAN. Ser. Mat., 68:3 (2004), 115–138; Izv. Math., 68:3 (2004), 543–565
A. L. Lukashov, “Circular parameters of polynomials orthogonal on several arcs of the unit circle”, Mat. Sb., 195:11 (2004), 95–118; Sb. Math., 195:11 (2004), 1639–1663
A. L. Lukashov, “A Bernstein-type inequality for derivatives of rational functions on two segments”, Mat. Zametki, 66:4 (1999), 508–514; Math. Notes, 66:4 (1999), 415–420
L. Yu. Kossovich, A. L. Lukashov, P. L. Ul'yanov, A. P. Khromov, “Twelfth Saratov Winter Workshop “Contemporary Problems of Function Theory and their Applications””, Uspekhi Mat. Nauk, 59:3(357) (2004), 189–190
D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, A. L. Lukashov, “Tenth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 56:1(337) (2001), 205–206
A. L. Lukashov, D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, “Ninth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 53:2(320) (1998), 185–186
A. L. Lukashov, D. I. Trubetskov, P. L. Ul'yanov, A. P. Khromov, “Eighth Saratov Winter School “Modern Problems of Theory of Functions and Applications””, Uspekhi Mat. Nauk, 51:3(309) (1996), 221–222
Константы Лебега для интерполяции Лагранжа A. L. Lukashov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics December 4, 2019 16:00
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