scientific interests

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Radon-Nikodym Theorems in finitely additive setting;
Multivalued integration;
Choquet integral with respect to vector valued measures;
Integration in Riesz spaces;
Inequalities in spaces whit mixed norms.

Recent publications:

A. Croitoru, A. Gavrilut, A. Iosif, A.R. Sambucini, Convergence Theorems in Interval-Valued Riemann–Lebesgue Integrability, Mathematics, (2022), 10 (3), art. 450; https://doi.org/10.3390/math10030450
L. Di Piazza, K. Musial, A.R. Sambucini, Representations of multimeasures via multivalued Bartle-Dunford-Schwartz integral, submitted, arXiv2102.09886 (2021).
A. Croitoru, A. Gavrilut, A. Iosif, A.R. Sambucini, A note on convergence results for varying interval valued multisubmeasures, Mathematical Foundation of Computing, (2021), Doi: 10.3934/mfc.2021020
L. Angeloni, N. Nursel Cetin, D. Costarelli, A. R. Sambucini, G. Vinti, Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces, CONSTRUCTIVE MATHEMATICAL ANALYSIS, 4 (2021), No. 2, pp. 229-241
D. Candeloro, A. R. Sambucini, L. Trastulli, A Girsanov result for the Pettis integral, Real Analysis Exchange, 46(1), 2021, pp. 175-190 DOI: 10.14321/realanalexch.46.1.0175, arXiv 2007.04610
D. Costarelli, A. Croitoru, A. Gavrilut, A. Iosif, A.R. Sambucini, The Riemann-Lebesgue integral of interval-valued multifunctions, Mathematics, 2020, 8(12), pp. 1–17, 2250
C. Bardaro, P. Pucci, A.R. Sambucini, G. Vinti, LIFE AND WORK OF DOMENICO CANDELORO: AN APPRECIATION, Boll Unione Mat Ital (2020), https://doi.org/10.1007/s40574-020-00265-2 .
D. Candeloro, L. Di Piazza, K. Musial, A.R. Sambucini, Multi-integrals of finite variation, arxiv 1912.00892, Bollettino dell'Unione Matematica Italiana (2020), Doi: 10.1007/s40574-020-00217-w
D. Candeloro, L. Di Piazza, K. Musial, A.R. Sambucini, Integration of multifunctions with closed convex values in arbitrary Banach spaces, arxiv 1812.00597, Journal of Convex Analysis, (2020), 27 (4), 1233-1246.
D. Candeloro, A. R. Sambucini, L. Trastulli, A vector Girsanov result and its applications to conditional measures via the Birkhoff integrability, Mediterr. J. Math. (2019) 16:144, https://doi.org/10.1007/s00009-019-1431-x, arXiv: 1811.04597
D. Candeloro, A. Croitoru, A. Gavrilut, A. Iosif, A.R. Sambucini, Properties of the Riemann-Lebesgue integrability in the non-additive case, Rendiconti del Circolo Matematico di Palermo, (2019) ,doi: 10.1007/s12215-019-00419-y, arxiv: 1905.03993
D. Candeloro, L. Di Piazza, K. Musial, A.R. Sambucini, Multifunctions determined by integrable functions, International Journal of Approximate Reasoning, vol 112, pp 140-148, (2019), Doi: 10.1016/j.ijar.2019.06.002. arXiv: 1906.07019
D. Costarelli, A. R. Sambucini, G. Vinti, Convergence in Orlicz spaces by means of the multivariate max-product neural network operators of the Kantorovich type, Neural Computing and Applications, 31 (9), 5069-5078,(2019), Doi:10.1007/s00521-018-03998-6, arXiv: 1812.11543
D. Candeloro, R. Mesiar, A.R. Sambucini, A special class of fuzzy measures: Choquet integral and applications, arxiv 1711.08602, Fuzzy Sets and Systems, vol. 355, pp 83-99, (2019), Doi: 10.1016/j.fss.2018.04.008 arXiv: 1711.08602
D. Candeloro, A. Croitoru, A. Gavrilut, A.R. Sambucini, A multivalued version of the Radon-Nikodym theorem, via the single-valued Gould integral, Australian Journal of Mathematical Analysis and Applications, 15 (2), art. 9 pp 1-16 (2018), arXiv:1504.04110v3,
D. Candeloro, A.R. Sambucini, A Girsanov result through Birkhoff integral, Computational Science and Its Applications ICCSA 2018, (chapter) O. Gervasi et al. (Eds.): ICCSA 2018, LNCS 10960, pp. 676–683, 2018 Doi: https://doi.org/10.1007/978-3-319-95162-1_47, arxiv 1912.01339
D. Candeloro, L. Di Piazza, K. Musial, A.R. Sambucini Some new results on integration for multifunction, Ricerche di Matematica, vol 67 (2), (2018), 361-372, Doi: 10.1007/s11587-018-0376-x, arxiv 1610.09151.
D. Candeloro, C.C.A. Labuschagne, V. Marraffa, A.R. Sambucini Set-valued Brownian motion, Ricerche di Matematica, vol 67 (2), (2018), 347-360. Doi: 10.1007/s11587-018-0372-1, arxiv 1509.06518
D. Costarelli, A. R. Sambucini, Approximation results in Orlicz spaces for sequences of Kantorovich max-product neural network operators, Results in Mathematics, Volume 73 (1), (2018) Doi: 10.1007/s00025-018-0799-4, arxiv 1912.00911
D. Candeloro, L. Di Piazza, K. Musial, A.R. Sambucini Relations among gauge and Pettis integrals for multifunctions with weakly compact convex values, Annali di Matematica, (2018), 197 (1) 171-183. Doi: 10.1007/s10231-017-0674-z arXiv 1912.01845
A. Boccuto - D. Candeloro - A. R. Sambucini, L^p spaces in vector lattices and applications, Math. Slov., (2017) vol 67 n. 6 1409-1426. arXiv 1604.07570. DOI: https://doi.org/10.1515/ms-2017-0060 arXiv 1604.07570
A. R. Sambucini, The Choquet integral with respect to fuzzy measures and applications, Math. Slov. (2017), vol. 67 n. 6, 1427-1450, DOI: https://doi.org/10.1515/ms-2017-0049., arXiv 1801.03264
D. Candeloro, L. Di Piazza, K. Musial, A.R. Sambucini Gauge integrals and selections of weakly compact valued multifunctions, J.M.A.A Volume 441, Issue 1, 1 September 2016, Pages 293–308, Doi: 10.1016/j.jmaa.2016.04.009. arXiv 1602.00473
D. Candeloro, A. Croitoru, A. Gavrilut¸ A.R. Sambucini Atomicity related to non-additive integrability, Rend. Circolo Matem. Palermo, Volume 65 (3), 435-449, 2016 online Doi: 10.1007/s12215-016-0244-z. arXiv 1602.05330
D. Candeloro, A. Croitoru, A. Gavrilut, A.R. Sambucini An extension of the Birkhoff integrability for multifunctions, Mediterranean J. Math Volume 13, Issue 5, pp 2551-2575, (2016), (online 2015), Doi: 10.1007/s00009-015-0639-7. arXiv 1507.06444
A. Boccuto - D. Candeloro - A. R. Sambucini Henstock multivalued integrability in Banach lattices with respect to pointwise non atomic measures, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. Volume 26, Issue 4, 2015, pp. 363-383 DOI: 10.4171/RLM/710 arXiv 1503.08285

Anna Rita Sambucini
Dipartimento di Matematica e Informatica – Università degli Studi di Perugia
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