Article on the application of Cauchy–Bunyakovsky–Schwarz Inequality in Simplifying and Solving Inequality Problems

Toyesh Prakash Sharma¹ , Etisha Sharma²

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.4 , pp.23-29, Aug-2023

Online published on Aug 31, 2023

Copyright © Toyesh Prakash Sharma, Etisha Sharma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
As it is mentioned in the title that through this article there, we will deal with various problems based on classic Cauchy-Bunyakovsky-Schwarz inequality. Previously we have done work on applications of Jensen inequality and their application. Under the title applications, there we’d discuss two aspects of Jensen’s Inequality which are the application of Jensen`s inequality in proving well-known inequalities such as Köber`s inequality, Jordan’s Inequality etc. and another aspect is the application of Jensen’s Inequality in solving and simplifying problems proposals in the similar manner we are trying to deal problems based upon Cauchy-Bunyakovsky-Schwarz inequality and further there is a section dealing with the problems that reads have to solve.

Key-Words / Index Term :
Inequality, Cauchy Bunyakovsy Schwarz Inequality, AM-GM inequality, Jensen’s Inequality, Natural Numbers, Variables etc

References :
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