On pointwise convergence of linear integral operators with homogeneous kernels

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Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems (2011, background): “As a continuation of paper 14 , very recently the authors 16 obtained pointwise convergence theorems and rate of pointwise convergence theorems for a family of operators of the form: where <inline-graphic xmlns:xlink="http://www.”
Approximation of discontinuous signals by sampling Kantorovich series (2015, background): “erators Gwf have been introduced in the 1980s (see e.g. [11, 7, 14, 16, 37]) as an approximate version of the classical Whittaker-Kotelnikov-Shannon sampling theorem which uses an L1-kernel, see e.g. [38, 12, 32, 33, 34, 1, 4, 10, 2, 3, 6]. The sampling Kantorovich operators Swf, ﬁrst introduced in ”