Some estimates on the AM-GM inequality and its applications
الموضوعات :
F. P. Mohebbi
1
(Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
M. Hassani
2
(Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
M. Erfanian Omidvar
3
(Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
H. Moradi
4
(Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran)
الکلمات المفتاحية: Young inequality, arithmetic-geometric mean inequality, logarithmic mean,
ملخص المقالة :
The present paper seeks to establish an approximation of the arithmetic-geometric mean inequality (AM-GM) using a logarithmically concave function. We utilized the specific properties of this class of functions to derive modified versions of the AM-GM inequality as a specific example. These findings present a fresh perspective on the subject.
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