Approximation of continuous and discontinuous functions by generalized sampling series

By Paul L. Butzer, S. Ries, R. Stens. 1987

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Implicit Behavioral Cloning (2021, background): “Various approaches have been developed to approximate discontinuous functions [60, 61, 62, 63], which typically do not use neural networks.”
Approximation Results for a General Class of Kantorovich Type Operators (2014, unknown): “8 and 9) and [14, 18, 19, 15, 20, 11, 12, 35, 36, 13, 1, 2, 37, 4, 6]).”
Approximation of discontinuous signals by sampling Kantorovich series (2015, methodology): “[11, 7, 14, 16, 37]) as an approximate version of the classical Whittaker-Kotelnikov-Shannon sampling theorem which uses an L1-kernel, see e.”
Approximation properties in abstract modular spaces for a class of general sampling-type operators (2006, background): “Other particular cases in linear form are the well-known generalized sampling series of a function f introduced by Butzer and his school [10,13,15,16,26]”