SPLINE INTERPOLYATSIYASI
Keywords:
Splaynlar, matematik asoslar, interpolyatsiya, teoretik asoslar, uzluksizlik sharti, chegara shartlari, kubik splayn, interpolyatsiya shartlari, birinchi hosilalar uzluksizligi, ikkinchi hosilalar uzluksizligi, natural spline uchun chegaraviy shartlar, kubik splayn algoritmi, interval kengliklarini hisoblash, tridiagonal tizimni tuzish, koeffitsiyentlarni hisoblash, splaynni yig‘ish, numerik analiz.Abstract
Ushbu maqolada splayn (piecewise polynomial) interpolyatsiyasi nazariy asoslari, matematik ta'rifi, algoritmlari va amaliy qo'llanilishlari tahlil qilinadi. Ayniqsa, kubik splayn interpolyatsiyasi usuli batafsil ko‘rib chiqilib, uning uzluksizlik, silliqlik va hisoblash qulayligi kabi afzalliklari ta'kidlanadi. Maqolada metodologik yondashuvlar, zarur bo‘lgan matematik shartlar va qo‘llaniladigan algoritmlar bayon etilgan.
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