Article on the applications of the Jensen’s Inequality in Alternative proofs and Problems Part-2

Toyesh Prakash Sharma¹ , Etisha Sharma²

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.3 , pp.49-56, Jun-2023

Online published on Jun 30, 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 of the classic Jensen’s Inequality more clearly Weighted Jensen’s Inequality of both kinds of convex function and concave function. Previously we have done the work on applications of Jensen inequality and their application. Under the title applications, we will mainly discuss two aspects of it which are the application of Jensen inequality in proving well-known inequalities such as Köber`s inequality, Jordan’s Inequality and Ste?kin`s inequality and another aspect is the application of Jensen’s Inequality in solving and simplifying problems proposals published in different journals on the basis of it there are example problems for readers.

Key-Words / Index Term :
Convex Function, Concave Function, AM-GM Inequality, Inequality, Jensen’s Inequality

References :
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