Hisoblash matematikasi va axborot tizimlari” kafedrasi Abdulhakimova Dilafruz Hoshimjon qizining

2-Teorema. (3) ayirmalı formulaning (9) xatolik funksionalining normasi uchun

ifoda o'rinli, bunda va
Isbot. bu yerdan va ekanligini inobatga olib quyidagini olamiz
(18)
Bundan ko'rinadiki ni hisoblash uchun dastlab ni hisoblash kerak.

Endi oxirgi tenglikni inobatga olib (18) dan uchun quyidagi hisoblashlarni bajaramiz

Demak, teorema isbot bo'ldi va l-masala yechildi.
Shunday qilib ushbu ishda, fazoda (3)-ko'rinishdagi optimal ayirmali formula qurish uchun xatolik funksionali normasining ko'rinishi topildi, keyingi ishlarda 2-masalani yechish bilan shug'ullanamiz.

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