Convergence for varying measures in the topological case-Reference-Cited by-同舟云学术

Convergence for varying measures in the topological case

Published:2023-07-01 Issue:1 Volume:203 Page:71-86
ISSN:0373-3114
Container-title:Annali di Matematica Pura ed Applicata (1923 -)
language:en
Short-container-title:Annali di Matematica

Author:

Di Piazza Luisa,Marraffa Valeria,Musiał Kazimierz,Sambucini Anna Rita^ORCID

Abstract

AbstractIn this paper convergence theorems for sequences of scalar, vector and multivalued Pettis integrable functions on a topological measure space are proved for varying measures vaguely convergent.

Funder

Università degli Studi di Perugia

Università degli Studi di Palermo

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

Fondazione Cassa di Risparmio di Perugia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10231-023-01353-8.pdf

Reference30 articles.

1. Angeloni, L., Costarelli, D., Seracini, M., Vinti, G., Zampogni, L.: Variation diminishing-type properties for multivariate sampling Kantorovich operators. Boll. dell’Unione Matem. Ital. 13(4), 595–605 (2020)

2. Avendaño-Garrido, M.L., Gabriel-Argüelles, J.R., Torres Quintana, L., González-Hernández, J.: An approximation scheme for the Kantorovich–Rubinstein problem on compact spaces. J. Numer. Math. 26(2), 63–75 (2018). https://doi.org/10.1515/jnma-2017-0008

3. Bardaro, C., Mantellini, I.: On convergence properties for a class of Kantorovich discrete operators. Numer. Funct. Anal. Opt. 33, 374–396 (2012)

4. Bogachev, V.I.: Measures on topological spaces. J. Math. Sci. 91(4), 3033–3156 (1998)

5. Candeloro, D., Di Piazza, L., Musiał, K., Sambucini, A.R.: Gauge integrals and selections of weakly compact valued multifunctions. J. Math. Anal. Appl. 441(1), 293–308 (2016). https://doi.org/10.1016/j.jmaa.2016.04.009

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Vitali Theorems for Varying Measures;Symmetry;2024-07-31

2. A comparison among a fuzzy algorithm for image rescaling with other methods of digital image processing;Constructive Mathematical Analysis;2024-06-15

3. µ-Integrable Functions and Weak Convergence of Probability Measures in Complete Paranormed Spaces;Mathematics;2024-04-27