«Al-Farg’oniy avlodlari» («The descendants of Al-Fargani»)
Published December 10, 2023 | Version v1
Journal article Open

UCH O'LCHOVLI FAZODAGI SFERADAANIQLANGAN FUNKSIYALARNI TAQRIBIY INTEGRALLASH UCHUN OPTIMAL KUBATUR FORMULALAR

Creators

  • 1. fizika-matematika fanlari bo'yicha falsafa doktori, Muxammad al-Xorazmiy nomidagi TATU Farg'ona filiali

Description

Sfera ustida aniqlangan funksiyalarni optimal kubatur formulalar va trigonometrik vaznli optimal kvadratur formulalar yordamida integrallarni taqribiy hisoblashning samarali usullarini ishlab chiqish, funksiyalarning turli sinflarida trigonometrik vaznli integrallarni taqribiy hisoblashning yangi algoritmlarini yaratish hamda ularning xatoliklarini baholash ushbu ishning maqsadidir.

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References

  • Atkinson K. Spherical harmonics and approximations on the unit sphere: an introduction./ K. Atkinson, W. Han.- Springer - Verlag Berlin Heidelberg 2012, 244 p.
  • Bozarov B.I. Optimal quadrature formulas with the trigonometric weight in the Sobolev space // Bulletin of the Institute of Mathematics, V.I. Romanovskiy Institute of Mathematics. – Tashkent, 2020. no 4. pp.1-10.
  • Hayotov A.R. An optimal quadrature formulas with the trigonometric weight in the Sobolev space. / A.R. Hayotov, B.I. Bozarov // AIP Conference Proceeding, 2365, 020022 (2021), 16 July
  • Шадиметов Х.М. Весовые оптимальные кубатурные формулы в периодическом пространстве Соболева // Сиб. журн. вычисл. математики. – Новосибирск, РАН, Сиб. отделение, 1999. - Т. 2, № 2. - С. 185-196
  • Шадиметов Х.М. Оптимальные решетчатые квадратурные и кубатурные формулы в пространствах Соболева. – Ташкент: Фан ва технология, 2019
  • Burden R.L., Faires J.D. Numerical analysis. / R.L. Burden, J.D. Faires -Nelson Education, Ninth Edition, Canada, 2016
  • Hayotov A.R. Optimal quadrature formulas for non-periodic functions in Sobolev space and its application to CT image reconstruction. / A.R. Hayotov, S. Jeon, C.-O. Lee, Kh.M. Shadimetov. // Filomat 35:12 (2021), 4177–4195 https://doi.org/10.2298/FIL2112177H
  • Bozarov B.I. An optimal quadrature formula with weight function in the Sobolev space. Uzbek Mathematical Journal. – Tashkent, 2019, no 4, pp 47-53. (01.00.00; №6)