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Консультация № 187694
27.12.2013, 19:33
97.10 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Необходимо решить задачу.
Найти норму функции y=7x^3 - 5x^4 в пространствах С[2,3], C1[2,3], C2[2,3]
Необходимо решить задачу.
Найти норму функции y=7x^3 - 5x^4 в пространствах С[2,3], C1[2,3], C2[2,3]
Обсуждение
Неизвестный
27.12.2013, 23:29
общий
28.12.2013, 11:01
Извините, задача нужна срочно. Не могли бы вы отозваться пожалуйста и помочь)
28.12.2013, 14:44
общий
это ответ
Здравствуйте, Минаев Александр!
Предположим, что под нормой функции
в 
подразумевается 
.
Так что надо лишь найти максимумы и её первых двух производных на отрезке.
,
,
,
.
Нули
-- 0 и 
, на бесконечности отрицательна. Так что максимум |f| на [2,3] есть либо 
либо 
.
Нули
есть 0 и 
. Ситуация та же. Максимум |f'| на [2,3] есть 
.
Нуль
это 
. Максимум |f''| на [2,3] есть 
.
Так что норма на C[2,3] есть 216, на C1[2,3] есть 216+351=567, на C2[2,3] есть 567+414=981.
Предположим, что под нормой функции
в подразумевается .Так что надо лишь найти максимумы
и её первых двух производных на отрезке.,,,.Нули
-- 0 и , на бесконечности отрицательна. Так что максимум |f| на [2,3] есть либо либо .Нули
есть 0 и . Ситуация та же. Максимум |f'| на [2,3] есть .Нуль
это . Максимум |f''| на [2,3] есть .Так что норма на C[2,3] есть 216, на C1[2,3] есть 216+351=567, на C2[2,3] есть 567+414=981.
Форма ответа
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