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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… Click to show full 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.
Keywords:
tensor products;
calculation integrals;
method tensor;
products functionals;
functions method;
integrals products
Journal Title: Russian Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Russian Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!