Optimal cubature formulas for calculation of multidimensional integrals in weighted Sobolev spaces
- Авторлар: Boikov I.V.1
-
Мекемелер:
- Penza State University
- Шығарылым: Том 57, № 3 (2016)
- Беттер: 425-441
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170452
- DOI: https://doi.org/10.1134/S0037446616030058
- ID: 170452
Дәйексөз келтіру
Аннотация
Optimal cubature formulas are constructed for calculations of multidimensional integrals in weighted Sobolev spaces. We consider some classes of functions defined in the cube Ω = [-1, 1]l, l = 1, 2,..., and having bounded partial derivatives up to the order r in Ω and the derivatives of jth order (r < j ≤ s) whose modulus tends to infinity as power functions of the form (d(x, Г))-(j-r), where x ∈ Ω Г, x = (x1,..., xl), Г = ∂Ω, and d(x, Г) is the distance from x to Г.
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Авторлар туралы
I. Boikov
Penza State University
Хат алмасуға жауапты Автор.
Email: i.v.boykov@gmail.com
Ресей, Penza
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