Approximation theory of functions by polynomials, rational functions and splines.
Biography
Education and qualification:
1995, Jan. Obtained Dr. of Sciences in Physics and Mathematics at the Department of Mathematical Analysis, Mathematics Faculty, National University of Uzbekistan.
1989–1992 Studying for the Doctorate Degree of the Department of Mathematical Analysis, Mathematics Faculty, National University of Uzbekistan.
1977, Sep. Obtained PhD in Physics and Mathematics at the Department of Functions Theory and Functional Analysis, Mechanics and Mathematics
Faculty, Moscow State University, Moscow, Russia.
1973–1976 Post graduate student of the Department of Functions Theory and Functional Analysis, Mechanics and Mathematics Faculty, Moscow State University, Moscow, Russia.
1971–1973 He was on probation at the Department Functions Theory and Functional Analysis, Mechanics and Mathematics Faculty, Moscow State University, Moscow, Russia.
1971, June Obtained Diploma of Higher Education in Mathematics at Mechanics and Mathematics Faculty.
1966–1971 Student of Mechanics and Mathematics Faculty, Samarkand State University, Samarkand, Uzbekistan.
Main publications:
A. Khatamov, “On the Best Polynomial Approximations of Functions of Many Real Variables From the Sobolev Spaces With Derivatives of Bounded Variation”, TWMS Jour. Pure and Appl. Math, 2:2 (2011), 236–246
A. Khatamov, “On the Exact Estimates of the Best Spline Approximations of Functions”, Electronic Transaction on Numerical Analysis, 25 (2006), 446–453
A. Khatamov, “Multidimensional Analogues of Direct and Converse Jackson and Bernstein Theorems and Their Generalizations”, Mathematical Notes [Translated from Matem. Zametki], 67:4 (2000), 516–522
A. Khatamov, “Polynomial and Rational Approximations of Functions in Many Variables with Convex Derivatives in Integral Metrics”, Serija Matem. [Russian Math. J.], 58:1 (1994), 167–181
A. Khatamov, “Some Converse Theorems of the Theory of Rational Approximations of Function
in Many Variables”, Matem. Zametki [Russian Math. J.], 54:2 (1993), 132–144
A. Khatamov, E. A. Norkulov, “Exact estimates of the best rational approximations of functions with derivative of generalized finite variation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 10, 71–77; Russian Math. (Iz. VUZ), 65:10 (2021), 63–68
2000
2.
A. Khatamov, “Multidimensional analogues of direct and converse Jackson and Bernshtein theorems and their generalizations”, Mat. Zametki, 67:4 (2000), 608–615; Math. Notes, 67:4 (2000), 516–522
1994
3.
A. Khatamov, “Polynomial and rational approximation of functions of several variables with convex
derivatives in the $L_p$-metric $(0<p\leqslant\infty)$”, Izv. RAN. Ser. Mat., 58:1 (1994), 167–181; Russian Acad. Sci. Izv. Math., 44:1 (1995), 165–179
A. Khatamov, “Inverse theorems in the theory of rational approximations of functions of several variables”, Mat. Zametki, 54:2 (1993), 132–144; Math. Notes, 54:2 (1993), 858–866
1982
5.
A. Khatamov, “Spline approximation of functions with convex derivative”, Mat. Zametki, 31:6 (1982), 877–887; Math. Notes, 31:6 (1982), 443–449
1980
6.
A. Khatamov, “Approximation of functions with a convex derivative by means of splines”, Izv. Vyssh. Uchebn. Zaved. Mat., 1980, no. 4, 87–95
1977
7.
A. Khatamov, “Rational approximations of convex functions”, Mat. Zametki, 21:3 (1977), 355–370; Math. Notes, 21:3 (1977), 198–207
A. Khatamov, “The rational approximation of convex functions of the class $\operatorname{Lip}\alpha$”, Mat. Zametki, 18:6 (1975), 845–854; Math. Notes, 18:6 (1975), 1092–1096
A. Khatamov, “On rational approximations of functions with a convex derivative”, Mat. Sb. (N.S.), 98(140):2(10) (1975), 268–279; Math. USSR-Sb., 27:2 (1975), 239–250
Full list of publications
