On the convergence of sequences of positive linear operators and functionals on bounded function spaces

DOI10.1090/PROC/15445OpenAlexW3112850543MaRDI QIDQ5002548

Francesco Altomare

Publication date: 28 July 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15445

zbMATH Keywords

Bernstein operatorpositive operatorweak law of large numbersvector-valued random variablebounded function spaceintegrated arithmetic mean

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (7)

Korovkin-type theorems for weakly nonlinear and monotone operators ⋮ Nonlinear operator extensions of Korovkin's theorems ⋮ Quantitative Korovkin theorems for monotone sublinear and strongly translatable operators in $L_{p}([0, 1)$, $1\le p\le \infty $] ⋮ On positive linear functionals and operators associated with generalized means ⋮ A Korovkin-type theorem for sequences of positive linear operators on function spaces ⋮ Francesco Altomare - the remarkable mathematician and human being ⋮ Korovkin-type theorems and local approximation problems

Cites Work

• On some convergence criteria for nets of positive operators on continuous function spaces
• Korovkin-type approximation theory and its applications
• Probability theory. Translated from the German by Robert B. Burckel
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• Measure and integration theory. Transl. from the German by Robert B. Burckel

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