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Article: Bohr's Inequalities in nInner Product Spaces
Title  Bohr's Inequalities in nInner Product Spaces 

Authors  
Keywords  Bohr's inequality ninner product space nnormed linear space 
Issue Date  2007 
Publisher  The Korean Society of Mathematical Education. The Journal's web site is located at http://www.jksmeb.org 
Citation  Journal of the Korean Society of Mathematical Education, Series B: Pure and Applied Mathematics, 2007, v. 14 n. 2, p. 127137 How to Cite? 
Abstract  The classical Bohr's inequality states that $z+w^2{leq}pz^2+qw^2$ for all $z,;w{in}mathbb{C}$ and all p, q>1 with $frac{1}{p}+frac{1}{q}=1$. In this paper, Bohr's inequality is generalized to the setting of ninner product spaces for all positive conjugate exponents $p,;q{in}mathbb{R}$. In. In particular, the parallelogram law is recovered and an interesting operator inequality is obtained. 
Persistent Identifier  http://hdl.handle.net/10722/75402 
ISSN 
DC Field  Value  Language 

dc.contributor.author  Cheung, WS  en_HK 
dc.contributor.author  Cho, YJ  en_HK 
dc.contributor.author  Pecaric, J  en_HK 
dc.contributor.author  Zhao, D  en_HK 
dc.date.accessioned  20100906T07:10:46Z   
dc.date.available  20100906T07:10:46Z   
dc.date.issued  2007  en_HK 
dc.identifier.citation  Journal of the Korean Society of Mathematical Education, Series B: Pure and Applied Mathematics, 2007, v. 14 n. 2, p. 127137  en_HK 
dc.identifier.issn  12260657   
dc.identifier.uri  http://hdl.handle.net/10722/75402   
dc.description.abstract  The classical Bohr's inequality states that $z+w^2{leq}pz^2+qw^2$ for all $z,;w{in}mathbb{C}$ and all p, q>1 with $frac{1}{p}+frac{1}{q}=1$. In this paper, Bohr's inequality is generalized to the setting of ninner product spaces for all positive conjugate exponents $p,;q{in}mathbb{R}$. In. In particular, the parallelogram law is recovered and an interesting operator inequality is obtained.   
dc.language  eng  en_HK 
dc.publisher  The Korean Society of Mathematical Education. The Journal's web site is located at http://www.jksmeb.org   
dc.relation.ispartof  Journal of the Korean Society of Mathematical Education, Series B: Pure and Applied Mathematics  en_HK 
dc.subject  Bohr's inequality   
dc.subject  ninner product space   
dc.subject  nnormed linear space   
dc.title  Bohr's Inequalities in nInner Product Spaces  en_HK 
dc.type  Article  en_HK 
dc.identifier.email  Cheung, WS: wscheung@hku.hk  en_HK 
dc.identifier.email  Zhao, D: zhdd_80@hotmail.com  en_HK 
dc.identifier.authority  Cheung, WS=rp00678  en_HK 
dc.description.nature  link_to_subscribed_fulltext   
dc.identifier.hkuros  130688  en_HK 
dc.identifier.volume  14   
dc.identifier.issue  2   
dc.identifier.spage  127   
dc.identifier.epage  137   
dc.publisher.place  Republic of Korea   