Gilbert fazosida hosilali kvadratur formulani optimal koeffisientlarini topish
Keywords:
Gilbert fazosi, kvadratur formula, optimal koeffisient, funksional analiz, ortogonal proyeksiya, variatsion usul, integralni taxminiy hisoblashAbstract
Mazkur ishda Gilbert fazosida hosilali kvadratur formulalarning optimal koeffisientlarini topish masalasi o‘rganilgan. Tadqiqotning maqsadi — integralni taxminiy hisoblashda yuzaga keladigan xatolikni minimal darajaga tushiruvchi kvadratur formulani qurish va uning optimal koeffisientlarini aniqlashdan iborat. Buning uchun Gilbert fazosining ichki ko‘paytma va normasi asosida funksional analiz usullari qo‘llanildi. Optimal koeffisientlarni topishda ortogonal proyeksiya prinsipi hamda variatsion yondashuvdan foydalanildi. Olingan natijalar integralni hisoblashda aniqlikni oshirish bilan birga, raqamli usullarda hisoblash barqarorligini ta’minladi. Tadqiqot natijasida hosilali kvadratur formulalar uchun analitik ko‘rinishda optimal koeffisientlar ifodalari keltirildi va ularning amaliy ahamiyati matematik modellashtirish hamda hisoblash fizikasida namoyon etildi.
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