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.
Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces
ANGELONİ, LauraMembro del Collaboration Group
;COSTARELLI, DaniloMembro del Collaboration Group
;SAMBUCİNİ, Anna RitaMembro del Collaboration Group
;VINTI, Gianluca
Membro del Collaboration Group
2021
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.File in questo prodotto:
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