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|Title: ||The Proofs of product inequalities in a generalized vector space|
|Authors: ||Barnes, Benedict|
Owusu-Ansah, E. D. J.
Amponsah, S. K.
|Keywords: ||Product inequality|
rst product inequality
second product inequality
generalized vector space
|Issue Date: ||2018|
|Publisher: ||New York Business Global|
|Citation: ||New York Business Global Vol. 11, No. 2, 2018, 375-389|
|Abstract: ||In this paper, we introduce the proofs of product inequalities:
kukkvk kuk+kvk, for all u; v 2 [0; 2], and kuk+kvk kukkvk, for all u; v 2 [2;1). By applying
the rst product inequality to the Lp spaces, we observed that if f :
! [0; 1], and g :
then kfkpkgkp kfkp + kgkp. Also, if f; g :
! R, then kfkp + kgkp kfkpkgkp.
2010 Mathematics Subject Classi cations: 4B45, 44B46|
|Description: ||An article published by New York Business Global.|
|Appears in Collections:||College of Science|
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