Clarkson’s Inequalities for Periodic Sobolev Space

Clarkson’s Inequalities for Periodic Sobolev Space

The paper is devoted to developing the proof of Clarkson's inequalities for periodic functions belonging to the Sobolev space. The norm of the space has not been considered earlier. The importance of the discussed issue rests with the need to develop fundamentals in research of error estimation...

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Bibliographic Details
Main Author: I.V. Korytov
Format: Article
Language:English
Published: Kazan Federal University 2016-09-01
Series:Учёные записки Казанского университета. Серия Физико-математические науки
Subjects:
uniform convexity
Banach space
Sobolev space
non-Hilbert space
periodic function space
inverse Minkowski inequality
unit cube
Clarkson's inequalities
Online Access:http://kpfu.ru/portal/docs/F2143634559/158_3_phys_mat_3.pdf

Internet

http://kpfu.ru/portal/docs/F2143634559/158_3_phys_mat_3.pdf

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