@article{article_303624, title={Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities}, journal={Journal of Engineering Technology and Applied Sciences}, volume={2}, pages={27–31}, year={2017}, DOI={10.30931/jetas.303624}, author={Çelik, Halil İbrahim}, keywords={Arithmetic-geometric means inequality,Young inequality,Extremum values,Functional inequalities,Elementary functions,Monotone sequences}, abstract={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 derive <br />inequalities  between some of the elementary functions and to prove monotonocity of certain sequences of real numbers.}, number={1}, publisher={Muhammet KURULAY}