## Banach Journal of Mathematical Analysis

### Two Korovkin-type theorems in multivariate approximation

#### Abstract

Let $\Omega$ be a compact convex subset of $\R^d$ and let $(L_n)_{n\in\N}$ be a sequence of positive linear operators that map $C(\Omega)$ into itself. We establish two Korovkin-type theorems in which the limit of the sequence of operators is not necessarily the identity.

#### Article information

Source
Banach J. Math. Anal., Volume 2, Number 2 (2008), 121-128.

Dates
First available in Project Euclid: 21 April 2009

https://projecteuclid.org/euclid.bjma/1240336298

Digital Object Identifier
doi:10.15352/bjma/1240336298

Mathematical Reviews number (MathSciNet)
MR2436872

Zentralblatt MATH identifier
1155.41008

#### Citation

Guessab, Allal; Schmeisser, Gerhard. Two Korovkin-type theorems in multivariate approximation. Banach J. Math. Anal. 2 (2008), no. 2, 121--128. doi:10.15352/bjma/1240336298. https://projecteuclid.org/euclid.bjma/1240336298