Korovkin-type approximation by operators in Riesz spaces via power series method

DOI10.1515/dema-2019-0041zbMath1472.41010OpenAlexW2994908809WikidataQ126543191 ScholiaQ126543191MaRDI QIDQ1985714

Marwa Assili, Elmiloud Chil

Publication date: 7 April 2020

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2019-0041

zbMATH Keywords

Riesz spacespower series methoduniformly convergence

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Ordered rings, algebras, modules (06F25) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Max-product Shepard operators based on multivariable Taylor polynomials

Cites Work

• A Korovkin-type approximation theorem and power series method
• An abstract version of the Korovkin theorem via \(\mathcal{A}\)-summation process
• Abstract Korovkin-type theorems in modular spaces and applications
• Two Korovkin-type theorems in multivariate approximation
• On the universal Korovkin closure of subsets in vector lattices
• Approximation by positive linear operators in modular spaces by power series method
• A Korovkin-type theorem for double sequences of positive linear operators via power series method
• Korovkin-type approximation theory in Riesz spaces
• Approximations of the Korovkin type in Banach lattices
• Korovkin-type Theorems and Approximation by Positive Linear Operators
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