Φ-FUNKSIYALAR USULI ASOSIDA YUQORI ANIQLIKLI KVADRATUR FORMULALARNI QURISH VA ULARNING XATOLIK TAHLILI
DOI:
https://doi.org/10.5281/zenodo.20793002Keywords:
φ-funksiyalar, kvadratur formula, sonli integrallash, yuqori aniqlik, xatolik tahlili, qoldiq had, approksimatsiya, hisoblash matematikasi, sonli analiz.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.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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2026-06-22
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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
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