Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities
Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities
In this paper we prove the functional inequality $f(x)^{f(x)}\leq g(x)^{g(x)}$ for positive real functions $f$ and $g$ satisfying natural conditions and apply it to deriveinequalities between some of the elementary functions and to prove monotonocity of certain sequences of real numbers.
Keywords:
Arithmetic-geometric means inequality, Young inequality, Extremum values, Functional inequalities, Elementary functions Monotone sequences,
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- Yayın Aralığı: 3
- Başlangıç: 2016
- Yayıncı: Muhammet Kurulay