GILBERT FAZOSIDA OPTIMAL KVADRATUR FORMULA XATOLIK FUNKSIONALI NORMASI KO‘RINISHINI TOPISH
Keywords:
Gilbert fazosi, optimal kvadratur formula, Eyler–Makloren formulasi, xatolik funksionali, Sard masalasi, Riss teoremasi, ekstremal funksiya, sonli integrallash, kvadratur formula normasi, Sobolev fazosi.Abstract
Ushbu maqolada Gilbert fazosida Eyler–Makloren tipidagi optimal kvadratur formula qaralgan. Kvadratur formulaning xatolik funksionali uchun Riss teoremasi hamda ekstremal funksiya usuli asosida norma ko‘rinishi topilgan. Xatolik funksionalining normasi orqali Sard ma’nosidagi optimal kvadratur formulani qurish masalasi o‘rganilgan hamda tegishli nazariy natijalar keltirilgan.
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