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|Title: ||The Quotient Inequalities|
|Authors: ||Barnes, Benedict|
Dontwi, I. K.
|Keywords: ||Quotient inequalities|
rst quotient inequality
second quotient inequality
index power quotient inequalities
|Issue Date: ||2019|
|Publisher: ||New York Business Global|
|Citation: ||B. Barnes, C. Sebil, I. K. Dontwi / Eur. J. Pure Appl. Math, 12 (2) (2019), 469-485|
|Abstract: ||This paper contributes to the eld of inequalities, speci cally, the relationships among
the norms of products of elements or vectors or functions and their quotients. Thus, we established
that the norm of product of two vectors or functions is less than or equal to the norm of its quotient
if the norm of the denominator is less than or equal to one. On the other hand, we prove that the
norm of the quotient of two vectors or functions is less than or equal to the norm of their product.
In addition, we introduce the proofs of inequalities including the norm of index power of products
and their quotients, and then applied these inequalities to estabish properties of some functional
spaces, as well as, extention of some of the results in these functional spaces.
2010 Mathematics Subject Classi cations: 44B56, 44B57|
|Description: ||An article published by New York Business Global and available at doi.org/10.29020/nybg.ejpam.v12i2.3384|
|Appears in Collections:||College of Science|
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