Abstract
AbstractThe 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 given in earlier papers.
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,Radiology, Nuclear Medicine and imaging,Signal Processing,Algebra and Number Theory,Analysis
Reference37 articles.
1. Angeloni, L., Costarelli, D., Seracini, M., Vinti, G., Zampogni, L.: Variation diminishing-type properties for multivariate sampling Kantorovich operators. Boll. Unione Mat. Ital. 13(4), 595–605 (2020)
2. Angeloni, L., Vinti, G.: Rate of approximation for nonlinear integral operators with application to signal processing. Differ. Integral Equ. 18(8), 855–890 (2005)
3. Bardaro, C., Boccuto, A., Dimitriou, X., Mantellini, I.: Abstract Korovkin-type theorems in modular spaces and applications. Cent. Eur. J. Math. 11(10), 1774–1784 (2013)
4. Bardaro, C., Butzer, P.L., Mantellini, I.: The exponential sampling theorem of signal analysis and the reproducing kernel formula in the Mellin transform setting. Sampl. Theory Signal Image Process. 13(1), 35–66 (2014)
5. Bardaro, C., Butzer, P.L., Mantellini, I.: The Mellin-Parseval formula and its interconnections with the exponential sampling theorem of optical physics. Integral Transf. Spec. Funct. 27(1), 17–29 (2016)
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