Informative cardinality of trigonometric Fourier coefficients and their limiting error in the discretization of a differentiation operator in multidimensional Sobolev classes
Abstract:
The computational (numerical) diameter is used to completely solve the problem of approximate differentiation of a function given inexact information in the form of an arbitrary finite set of trigonometric Fourier coefficients.
Key words:approximate differentiation, informative cardinality of a given class of functionals, recovery from inexact information, limiting error, computational (numerical) diameter, massive limiting error.
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