CHEBYSHEV KO‘PHADLARI ORQALI FUNKSIYALARNI YAQNLASHTIRISH
Keywords:
Chebyshev ko‘phadlari, xato mezoni, yaqinlashtirish natijasi, analitik ifodasi, Funksiyalarni yaqinlashtirishAbstract
Funksiyalarni yaqinlashtirish masalasi matematik analiz va sonli metodlarning asosiy yo‘nalishlaridan biri hisoblanadi. Amaliy hisoblashlarda murakkab yoki analitik ifodasi qiyin funksiyalarni soddalashtirilgan ko‘phadlar orqali ifodalash hisoblash samaradorligini oshiradi va xatoliklarni kamaytiradi. Chebyshev ko‘phadlari maksimal xato mezoni bo‘yicha eng yaxshi yaqinlashtirish natijasini taqdim etadi.
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References
• Alexandr M. Korsunskiy ,,Gauss-Chebyshev quadrature formulae for strongly singular integrals’’
• Endre Süli, David F. Mayers. An Introduction to Numerical Analysis. Cambridge University Press.
• Kendall Atkinson. An Introduction to Numerical Analysis. Wiley.
• John C. Mason, David C. Handscomb.Chebyshev Polynomials. CRC Press, 2003.
• Richard L. Burden, J. Douglas Faires. Numerical Analysis. Brooks/Cole.
• Theodore J. Rivlin.Chebyshev Polynomials. Wiley, 1990.
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