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pro vyhledávání: '"Boccuto, Antonio"'
Autor:
Boccuto, Antonio, Sambucini, Anna Rita
Publikováno v:
Sampl. Theory Signal Process. Data Anal. 20, 12 (2022)
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 lattice-valued operators, following the construction of an integral giv
Externí odkaz:
http://arxiv.org/abs/2206.13226
Autor:
Boccuto, Antonio, Sambucini, Anna Rita
Publikováno v:
Results In Mathematics (2023) 78:4, online first 10 Novembre 2022
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, satisfying suitable axioms, and some fundamental properties are studi
Externí odkaz:
http://arxiv.org/abs/2112.12085
In order to precondition Toeplitz systems, we present a new class of simultaneously diagonalizable real matrices, the Gamma-matrices, which include both symmetric circulant matrices and a subclass of the set of all reverse circulant matrices. We defi
Externí odkaz:
http://arxiv.org/abs/2107.05890
Autor:
Boccuto, Antonio, Dimitriou, Xenofon
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 equivalence. A Drewnowski-type theorem on existence of continuous restric
Externí odkaz:
http://arxiv.org/abs/2101.06118
Autor:
Boccuto, Antonio, Dimitriou, Xenofon
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/ideal convergence, almost convergence and triangular A-statistical converg
Externí odkaz:
http://arxiv.org/abs/2101.05341
Publikováno v:
Mathematics, 2020, 8(6), 1005
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 properties and embeddings in $L^p$-type spaces, considering both the norm assoc
Externí odkaz:
http://arxiv.org/abs/2007.00209
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