The best constant for inequality involving the sum of the reciprocals and product of positive numbers with unit sum

Abstract In this paper, we study a special algebraic inequality containing a parameter, the sum of reciprocals and the product of positive real numbers whose sum is 1. Using a new optimization argument the best values of the parameter are determined. In the case of three numbers the algebraic inequa...

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Bibliographic Details
Main Author: Yagub N. Aliyev
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:https://doi.org/10.1186/s13660-024-03107-3