Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces

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Constructive Mathematical Analysis
Volume:4 Issue:2
Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces

Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces

Authors : Laura ANGELONI, Nursel ÇETİN, Danilo COSTARELLI, Anna Rita SAMBUCINI, Gianluca VINTI

Pages : 229-241

Doi:10.33205/cma.876890

View : 46 | Download : 8

Publication Date : 2021-06-01

Article Type : Research Paper

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.
Keywords : Multivariate sampling Kantorovich operators, Orlicz spaces, modulus of smoothness, quantitative estimates, Lipschitz classes

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