Optimal Quadrature Formulas for Calculating Integrals of Rapidly Oscillating Functions

Authors

  • Kh.M. Shadimetov Tashkent State Transport University Author
  • O.Kh. Gulomov National Research University "Tashkent Institute of Irrigation and Agricultural Mechanization Engineers" Author

Keywords:

Sobolev space, extremal function, error functional

Abstract

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.

References

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Published

2025-01-03

Issue

No. 4/2(60) (2024)

Section

Статьи

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Copyright (c) 2024 Х.М. Шадиметов, О.Х. Гуломов (Автор)

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This work is licensed under a Creative Commons Attribution 4.0 International License.