Orderly Exact Calculation of Integrals of Products of Functions by the Method of Tensor Products of Functionals

2019

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DOI 10.3103/s1066369x19110124
Data confidence 70 medium
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Abstract

We study approximate calculation of integrals of products of two functions by the method of tensor products of functionals. Under the assumption that one of them belongs to the Sobolev class with the dominant mixed derivative, and the other does with fast oscillation, we obtain unimprovable (in the sense of order) estimates of approximation error. In addition, we conduct a comparative analysis with known methods of the theory of oscillations.