Title of article :
Approximation of analytic functions by sequences of linear operators in the closed domain
Author/Authors :
Aliev, R.A. Baku State University, Baku, Azerbaijan
Abstract :
We consider the space of analytic functions in the closed domain, where convergence is a
uniform convergence in closed domain that contains the original domain strictly inside itself and prove the
theorems on the approximation and statistical approximation of functions in this space by the sequences
of linear operators
Keywords :
space of analytical functions , Faber polynomials , conformal mapping , Korovkin type theorem , linear k - positive operators , statistical convergence
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
