Approximation of analytical functions by sequences of k-positive linear operators
نویسندگان
چکیده
منابع مشابه
Approximation of analytic functions of several variables by linear k-positive operators
We investigate the approximation of analytic functions of several variables in polydiscs by the sequences of linear k-positive operators in the Gadjiev sense.
متن کاملSubspace-diskcyclic sequences of linear operators
A sequence ${T_n}_{n=1}^{infty}$ of bounded linear operators on a separable infinite dimensional Hilbert space $mathcal{H}$ is called subspace-diskcyclic with respect to the closed subspace $Msubseteq mathcal{H},$ if there exists a vector $xin mathcal{H}$ such that the disk-scaled orbit ${alpha T_n x: nin mathbb{N}, alpha inmathbb{C}, | alpha | leq 1}cap M$ is dense in $M$. The goal of t...
متن کاملUniform weighted approximation by positive linear operators
We characterize the functions defined on a weighted space, which are uniformly approximated by a sequence of positive linear operators and we obtain the range of the weights which can be used for uniform approximation. We, also, obtain an estimation of the remainder in terms of the usual modulus of continuity. We give particular results for the Szász-Mirakjan and Baskakov operators. Mathematics...
متن کاملApproximation of analytic functions by sequences of linear operators in the closed domain
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.
متن کاملApproximation of Analytic Functions by Sequences of Linear Operators in a Polydisc
We consider the space of analytic functions in polydisc with the topology of compact convergence, and prove some theorems on the approximation and statistical approximation of functions in this space by the sequences of linear operators.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2010
ISSN: 0021-9045
DOI: 10.1016/j.jat.2010.01.004