@article{article_876890, title={Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces}, journal={Constructive Mathematical Analysis}, volume={4}, pages={229–241}, year={2021}, DOI={10.33205/cma.876890}, author={Angelonı, Laura and Çetin, Nursel and Costarellı, Danilo and Sambucını, Anna Rita and Vıntı, Gianluca}, keywords={Multivariate sampling Kantorovich operators, Orlicz spaces, modulus of smoothness, quantitative estimates, Lipschitz classes}, abstract={In this paper, we establish a quantitative estimate for multivariate sampling Kantorovich operators by means of the modulus of continuity in the general setting of Orlicz spaces. As a consequence, the qualitative order of convergence can be obtained, in case of functions belonging to suitable Lipschitz classes. In the particular instance of L^p-spaces, using a direct approach, we obtain a sharper estimate than that one that can be deduced from the general case.}, number={2}, publisher={Tuncer ACAR}, organization={University of Perugia Ricerca di Base (2017,2018), Gnampa-Indam (2020), Fondazione Cassa di Risparmio di Perugia (2018,2019)}