Multivariate sampling Kantorovich operators: quantitative estimates in Orlicz spaces
Laura Angelonı, Nursel Çetіn, Danilo Costarellı, Anna Rita Sambucını, Gianluca Vıntı
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.
Topics & Concepts
Multivariate statisticsMathematicsLipschitz continuityModulus of continuitySampling (signal processing)Convergence (economics)Pure mathematicsApplied mathematicsStatisticsComputer scienceType (biology)GeologyComputer visionEconomicsPaleontologyFilter (signal processing)Economic growthApproximation Theory and Sequence SpacesMathematical Analysis and Transform MethodsAdvanced Banach Space Theory