Articles

Φ-FUNKSIYALAR USULI ASOSIDA YUQORI ANIQLIKLI KVADRATUR FORMULALARNI QURISH VA ULARNING XATOLIK TAHLILI

Vol. 4 No. 60 (2026) 16-21

DOI: 10.5281/zenodo.20793002 2026-06-22 Articles CC BY 4.0 Open Access

Authors

  • Li Olga Anatolevna Osiyo Xalqaro Universiteti 70540101 - “Matematika” mutaxassisligi magistranti

Abstract

Ushbu maqolada φ-funksiyalar usuli asosida yuqori aniqlikli kvadratur formulalarni qurish masalasi tadqiq etiladi. Unda integrallanuvchi funksiyani maxsus φ-funksiyalar sistemasi orqali yaqinlashtirish, kvadratur koeffitsiyentlarini aniqlash hamda hosil qilingan formulalarning aniqlik darajasini baholash yoritiladi. Shuningdek, kvadratur formulalarning qoldiq hadi va xatolik chegaralari tahlil qilinib, usulning klassik kvadratur formulalarga nisbatan afzalliklari ko‘rsatib beriladi.

Keywords:

φ-funksiyalar kvadratur formula sonli integrallash yuqori aniqlik xatolik tahlili qoldiq had approksimatsiya hisoblash matematikasi sonli analiz.

References

Atkinson K. E. An Introduction to Numerical Analysis. – 2nd ed. – New York: John Wiley & Sons, 1989. – 693 p.

Davis P. J., Rabinowitz P. Methods of Numerical Integration. – 2nd ed. – New York: Academic Press, 1984. – 612 p.

Quarteroni A., Sacco R., Saleri F. Numerical Mathematics. – 2nd ed. – Berlin: Springer, 2007. – 655 p.

Süli E., Mayers D. F. An Introduction to Numerical Analysis. – Cambridge: Cambridge University Press, 2003. – 444 p.

Stoer J., Bulirsch R. Introduction to Numerical Analysis. – 3rd ed. – New York: Springer, 2002. – 744 p.

Калиткин Н. Н. Численные методы. – СПб.: БХВ-Петербург, 2011. – 592 с.

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Published

2026-06-22

Issue

Vol. 4 No. 60 (2026)

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Articles

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Copyright (c) 2026 Innovative Academy RSC

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

How to Cite

Li, O. (2026). Φ-FUNKSIYALAR USULI ASOSIDA YUQORI ANIQLIKLI KVADRATUR FORMULALARNI QURISH VA ULARNING XATOLIK TAHLILI. Young Scientists, 4(60), 16-21. https://doi.org/10.5281/zenodo.20793002
Innovative Academy RSC
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