Abstract
Evaluating a continuous function by a discrete device of limited size (complexity) is necessarily approximate; moreover, the evaluation of approximate values of functions is in fact performed only on some finite subset of the domain of definition, i.e., a function with finite domain and range is evaluated. In addition, each class of continuous functions naturally generates a corresponding class of discrete functions.
This research is financially supported by the Russian Foundation for Basic Research (Grant 93-01-01527)
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References
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© 1997 Springer Science+Business Media Dordrecht
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Amanzhaev, G.G. (1997). On Discrete Approximations of Continuous Functions with Bounded Second Derivative. In: Operations Research and Discrete Analysis. Mathematics and Its Applications, vol 391. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5678-3_1
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DOI: https://doi.org/10.1007/978-94-011-5678-3_1
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