KVADRATUR FORMULALARNI QURISHDA Φ-FUNKSIYALAR USULINING NAZARIY ASOSLARI VA AMALIY QO‘LLANILISHI
DOI:
https://doi.org/10.5281/zenodo.20826801Keywords:
kvadratur formulalar, φ-funksiyalar usuli, sonli integrallash, algebraik aniqlik darajasi, qoldiq had, interpolatsiya, integral hisoblash.Abstract
Ushbu maqolada kvadratur formulalarni qurishda φ-funksiyalar usulining nazariy asoslari hamda uning amaliy qo‘llanilishi o‘rganilgan. φ-funksiyalar usulining matematik mohiyati, kvadratur formulalarni hosil qilishdagi o‘rni va ularning algebraik aniqlik darajasini oshirishdagi ahamiyati tahlil qilingan. Kvadratur formulalarning og‘irlik koeffitsiyentlarini aniqlashda φ-funksiyalardan foydalanish algoritmi bayon etilgan hamda hosil qilingan formulalarning xatolik hadi nazariy jihatdan asoslab berilgan. Shuningdek, taklif etilgan usul asosida ayrim aniq va murakkab integrallarni sonli hisoblash natijalari klassik kvadratur formulalar bilan taqqoslangan.References
Hayotov A.R., Jeon S., Shadimetov Kh.M. Application of optimal quadrature formulas for reconstruction of CT images // Journal of Computational and Applied Mathematics. – 2021. – Vol. 388. – Art. 113313.
Hayotov A.R., Kuldoshev H.M. An Optimal Quadrature Formula with Sigma Parameter // Problems of Computational and Applied Mathematics. – 2023. – Vol. 48, No. 2/1. – P. 7–19.
Coman Gh., Cuatinaș T. Construction of the Optimal Quadrature Formula Using the φ-Function Method // Studia Universitatis Babeș-Bolyai Mathematica. – 2024.
Hayotov A.R., Shomalikova M.Sh. An Optimal Quadrature Formula Exact to the Exponential Function // Problems of Computational and Applied Mathematics. – 2025. – Vol. 69, No. 5. – P. 74–85.
Hayotov A.R., Xaitov T., va boshq. On Optimality and Error Estimation of a Quadrature Formula by the φ-Function Technique // International Journal of Analysis and Applications. – 2025. – Vol. 23. – Art. 270.
Babaeva S.S., va boshq. Consecutive Optimization of the Weighted Quadrature Formula // Filomat. – 2025. – Vol. 39, No. 8.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Innovative Academy RSC
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
