Kantorovich-Type Generalized Sampling Series in the Setting of Orlicz Spaces

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A characterization of the convergence in variation for the generalized sampling series (2017, unknown): “2 of [10] 1 we have that J → 0, as w → +∞.”
Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces (2015, methodology): “, [34–36]) and in addition we have m (F ) < +∞ for every 0 < ≤ 1 (see [9, 21, 32, 33, 35]).”
Approximation of discontinuous signals by sampling Kantorovich series (2015, background): “The pointwise and uniform convergence for the family of sampling Kantorovich operators have been proved in [5] for continuous signals of one variable.”
On Convergence Properties for a Class of Kantorovich Discrete Operators (2012, background): “In this instance, Theorem 1 is obtained in [7].”
Vitali-type theorems for filter convergence related to vector lattice-valued modulars and applications to stochastic processes (2014, background): “Keywords: Vector lattice, filter convergence, modular, Vitali convergence theorem, moment operator, Brownian motion, Itô integral 2010 MSC: 28B15, 41A35, 46G10 Introduction The Vitali theorem has been widely studied in the literature.”
Approximation Results for a General Class of Kantorovich Type Operators (2014, background): “Actually, in [5], the kernels under consideration have exactly this form.”