Approximation theory of functions by polynomials, rational functions and splines.
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
