2 papers
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…