Korovkin type theorem for linear $k$-positive operators in a polydisc of analytical functions

Rok, strany: 2016, 1179 - 1186

In this work we obtained Korovkin type theorem for linear $k$-positive operators defined on the space of analytical functions in domain $D₀^m$, where $D₀^m=D₀× … × D₀$ is a polydisc in the space $C^m$ and $D₀=\{z\in C: |z|<1\}$ is a unit circle with the center at the origin. By convergence in this space we mean a uniform convergence in any closed domain located inside $D₀^m$. In work similar results are received also for statistical convergence.

ISO 690:

Gadjiev, A., Aliev, R. 2016. Korovkin type theorem for linear $k$-positive operators in a polydisc of analytical functions. In Mathematica Slovaca, vol. 66, no.5, pp. 1179-1186. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0213

APA:

Gadjiev, A., Aliev, R. (2016). Korovkin type theorem for linear $k$-positive operators in a polydisc of analytical functions. Mathematica Slovaca, 66(5), 1179-1186. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0213