Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 1 (2018), 1-7.
Convergence properties of nets of operators
We consider nets of operators acting on complex functions, and we investigate the algebraic and the topological structure of the set . Our results extend and improve some known results from the literature, which are connected with Korovkin’s theorem. Applications to Abel–Poisson-type operators and Bernstein-type operators are given.
Ann. Funct. Anal., Volume 9, Number 1 (2018), 1-7.
Received: 2 December 2016
Accepted: 9 January 2017
First available in Project Euclid: 29 June 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 41A36: Approximation by positive operators
Secondary: 41A30: Approximation by other special function classes
Nasaireh, Fadel; Popa, Dorian; Rasa, Ioan. Convergence properties of nets of operators. Ann. Funct. Anal. 9 (2018), no. 1, 1--7. doi:10.1215/20088752-2017-0018. https://projecteuclid.org/euclid.afa/1498723218