42 citations · 118 across the 11 of their papers we have counts for
11 papers
Some applications of modular convergence in vector lattice setting
Antonio Boccuto, Anna Rita Sambucini
The main purpose of this paper is to apply the theory of vector lattices and the related abstract modular convergence to the context of Mellin-type kernels and (non)linear vector l…
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,…
Gamma-matrices: a new class of simultaneously diagonalizable matrices
Antonio Boccuto, Ivan Gerace, Valentina Giorgetti +1
In order to precondition Toeplitz systems, we present a new class of simultaneously diagonalizable real matrices, the Gamma-matrices, which include both symmetric circulant matrice…
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…
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…
Kuelbs-Steadman spaces for Banach space-valued measures
Antonio Boccuto, Bipan Hazarika, Hemanta Kalita
We introduce Kuelbs-Steadman-type spaces for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate their main propertie…
spaces in vector lattices and applications
Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini
spaces are investigated for vector lattice-valued functions, with respect to filter convergence. As applications, some classical inequalities are extended to the vector latti…
A note on comparison between Birkhoff and McShane-type integrals for multifunctions
Antonio Boccuto, Anna Rita Sambucini
Here we present some comparison results between Birkhoff and McShane multivalued integration.
Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures
Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini
Henstock-type integrals are considered, for multifunctions taking values in the family of weakly compact and convex subsets of a Banach lattice . The main tool to handle the mul…
A note on set-valued Henstock--McShane integral in Banach (lattice) space setting
Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini
We study Henstock-type integrals for functions defined in a Radon measure space and taking values in a Banach lattice . Both the single-valued case and the multivalued one are c…
Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes
Antonio Boccuto, Domenico Candeloro, Anna Rita Sambucini
A Vitali-type theorem for vector lattice-valued modulars with respect to filter convergence is proved. Some applications are given to modular convergence theorems for moment operat…