Calculation of Derivatives in the Lp Spaces where 1 ≤ p ≤ ∞

It is well known in functional analysis that construction of \(k\)-order derivative in Sobolev space \(W_p^k\) can be performed by spreading the \(k\)-multiple differentiation operator from the space \(C^k.\) At the same time there is a definition of \((k,p)\)-differentiability of a function at an i...

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Bibliographic Details
Main Author: Anatoly Nikolaevich Morozov
Format: Article
Language:English
Published: Yaroslavl State University 2020-03-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1293