47 citations · 500 across the 36 of their papers we have counts for
37 papers
The Sturm-Liouville Hierarchy of evolution equations and the Weyl functions of related spectral problems
Paola Rubbioni, Anna Rita Sambucini, Luca Zampogni
The goal of the present paper is that of defining the so-called Sturm-Liouville hierarchy of evolution equations, firstly by using the zero-curvature formalism, then by using the a…
Selections of integrable multifunctions in arbitrary Banach spaces
Luisa Di Piazza, Anna Rita Sambucini
We find the origin of the integration theory for multifunctions in the sixties in the pioneering works of G. Debreu and R. Aumann, Nobel prizes for the Economy in 1983 and in 2005,…
Some reverse inequalities for scalar Birkhoff weak integrable functions
Anca Croitoru, Alina Iosif, Anna Rita Sambucini +1
Some inequalities and reverses of classic Hölder and Minkowski types are obtained for scalar Birkhoff weak integrable functions with respect to a non-additive measure.
Microwave Remote Sensing of Soil Moisture, Above Ground Biomass and Freeze-Thaw Dynamic: Modeling and Empirical Approaches
Laura Angeloni, Domenico Daniele Bloisi, Paolo Burghignoli +6
Human actions have accelerated changes in global temperature, precipitation patterns, and other critical Earth systems. Key markers of these changes can be linked to the dynamic of…
A comparison among a fuzzy algorithm for image rescaling with other methods of digital image processing
Danilo Costarelli, Anna Rita Sambucini
The aim of this paper is to present a comparison among the fuzzy-type algorithm for image rescaling introduced by Jurio et al., 2011, quoted in the list of references, with some ot…
A survey on the Riemann-Lebesgue integrability in non-additive setting
Anca Croitoru, Alina Gavrilut, Alina Iosif +1
We present in this survey some results regarding Riemann_Lebesgue integrability with respect to arbitrary non-additive set functions.
Convergence for varying measures in the topological case
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial +1
In this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguel…
Convergence for varying measures
Luisa Di Piazza, Valeria Marraffa, Kazimierz Musial +1
Some limit theorems of the type are presented for scalar, (vector), (multi)-valued sequences of m_n-integrable functions f_n. The convergences ob…
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,…
Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral
Luisa Di Piazza, Kazimierz Musial, Anna Rita Sambucini
An integral for a scalar function with respect to a multimeasure taking its values in a locally convex space is introduced. The definition is independent of the selections of $…
A Girsanov result for the Pettis integral
Domenico Candeloro, Anna Rita Sambucini, Luca Trastulli
A kind of Pettis integral representation for a Banach valued Itô process is given and its drift term is modified using a Girsanov Theorem.
Multi-integrals of finite variation
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musial +1
The aim of this paper is to investigate different types of multi-integrals of finite variation and to obtain decomposition results.
A Girsanov Result through Birkhoff Integral
Domenico Candeloro, Anna Rita Sambucini
A vector-valued version of the Girsanov theorem is presented, for a scalar process with respect to a Banach-valued measure. Previously, a short discussion about the Birkhoff-type i…
Relations among Gauge and Pettis integrals for -valued multifunctions
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musial +1
The aim of this paper is to study relationships among "gauge integrals" (Henstock, Mc Shane, Birkhoff) and Pettis integral of multifunctions whose values are weakly compact and con…
Approximation results in Orlicz spaces for sequences of Kantorovich max-product neural network operators
Danilo Costarelli, Anna Rita Sambucini
In this paper we study the theory of the so-called Kantorovich max-product neural network operators in the setting of Orlicz spaces . The results here proved, extend those giv…
Multifunctions determined by integrable functions
D. Candeloro, L. Di Piazza, K. Musial +1
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it c…
Properties of the Riemann-Lebesgue integrability in the non-additive case
Domenico Candeloro, Anca Croitoru, Alina Gavrilut +2
We study Riemann-Lebesgue integrability of a vector function relative to an arbitrary non-negative set function. We obtain some classical integral properties. Results regarding the…
Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type and applications
Danilo Costarelli, Anna Rita Sambucini, Gianluca Vinti
In this paper, convergence results in a multivariate setting have been proved for a family of neural network operators of the max-product type. In particular, the coefficients expr…
Integration of multifunctions with closed convex values in arbitrary Banach spaces
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musial +1
Integral properties of multifunctions with closed convex values are studied. In this more general framework not all the tools and the technique used for weakly compact convex value…
A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability
Domenico Candeloro, Anna Rita Sambucini, Luca Trastulli
Some integration techniques for real-valued functions with respect to vector measures with values in Banach spaces (and viceversa) are investigated in order to establish abstract v…
The Choquet integral with respect to fuzzy measures and applications
Anna Rita Sambucini
Fuzzy measures and Choquet asymmetric integral are considered here. As an application to economics some Core-Walras results are given.
A special class of fuzzy measures: Choquet integral and applications
Domenico Candeloro, Radko Mesiar, Anna Rita Sambucini
Core of an economy and Walras equilibria are considered for a product space using the Choquet integral with respect to a fuzzy measure.
Some new results on integration for multifunction
Domenico Candeloro, Luisa Di Piazza, Kazimierz Musiał +1
It has been proven in previous papers that each Henstock-Kurzweil-Pettis integrable multifunction with weakly compact values can be represented as a sum of one of its selections an…