42 citations · 118 across the 11 of their papers we have counts for
Showing 2021 · math.FAShow all
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math.FA2021★ 8 cited
Abstract integration with respect to measures and applications to modular convergence in vector lattice setting
Antonio Boccuto, Anna Rita Sambucini
A "Bochner-type" integral for vector lattice-valued functions with respect to (possibly infinite) vector lattice-valued measures is presented with respect to abstract convergences,…
math.FA2021
Equivalence between limit theorems for lattice group-valued k-triangular set functions
Antonio Boccuto, Xenofon Dimitriou
We investigate some main properties of lattice group-valued k-triangular set functions and prove some Brooks-Jewett, Nikodym, Vitali-Hahn-Saks and Schur-type theorems and their equ…
math.FA2021
Korovkin-type theorems for abstract modular convergence
Antonio Boccuto, Xenofon Dimitriou
We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/idea…