In this work, using the method of periodization of functions, optimal quadrature formulas of Hermite type will be constructed in spaces where the second derivatives are summable with squares. For this purpose, optimal quadrature formulas are used in spaces of periodic functions. In addition, exact upper bounds will be obtained for the constructed optimal quadrature formulas for the approximate calculation of integrals of rapidly oscillating functions.
| Mualliflar | Shadimetov, Kh.M., Gulomov, O.Kh., Шадиметов, Х.М., Гуломов, О.Х. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashr sanasi | 2025-01-03 |
| Son | 4/2 |
| Betlar | 56-65 |
| Til | Rus |
Sobolev space, extremal function, error functional, пространство Соболева, экстремальная функция, функционал погрешность
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