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Vladimirov, V.S. (2002) Methods of the Theory of Generalized Functions. Taylor & Francis, London, New York.

has been cited by the following article:

• TITLE: Interpolation of Generalized Functions Using Artificial Neural Networks

  AUTHORS: Raghu T Mylavarapu, Bharadwaja Krishnadev Mylavarapu, Uday Shankar Sekhar

  KEYWORDS: Function Interpolation, Hidden Layer, Weight, Bias, Machine Learning, Distributions, Dirac’s Function, Heaviside’s Function, Gibb’s Phenomenon

  JOURNAL NAME: Journal of Computer and Communications, Vol.6 No.7, July 30, 2018

  ABSTRACT: In this paper we employ artificial neural networks for predictive approximation of generalized functions having crucial applications in different areas of science including mechanical and chemical engineering, signal processing, information transfer, telecommunications, finance, etc. Results of numerical analysis are discussed. It is shown that the known Gibb’s phenomenon does not occur.