In his famous paper  Ibragim Ibishievich Ibragimov has given asymptotic values of the best uniform approximation of functions of the form (a - x)s lnm(a - x), (a ≥ 1). These results have led to the development of a series of new directions in approximation theory, including the following ones, to which we devote this paper. • Constructive characterization of approximation of functions on a closed interval. • Babenko spaces. • Ditzian-Totik moduli of smoothness. • Constructive characterization of approximation of functions on the sets of complex plane. • Shape preserving approximation. In particular, we will show how we have used the results by I. I. Ibragimov in our recent paper in Constructive Approximation.
|Number of pages||11|
|Journal||Azerbaijan Journal of Mathematics|
|State||Published - 2012|
- Degree of approximation by polynomials
- Jackson type estimates
- Polynomial approximation in complex domains
- Shape preserving approximation