Order of approximation for sampling Kantorovich operators

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Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces (2015, background): “The above definition extends that introduced in [35] for functions of one variable.”
Approximation of discontinuous signals by sampling Kantorovich series (2015, methodology): “[8, 27, 28, 29], both for functions of one and several variables.”
An Inverse Result of Approximation by Sampling Kantorovich Series (2018, methodology): “Moreover, the rate of convergence for the family (Swf)w>0 has been also studied in [22, 23, 24] in C(R), and in the Orlicz spaces Lφ(R), by considering functions in suitable Lipschitz classes.”
Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces (2014, background): “The above definition extends that one given in [28] for functions of one variable.”