Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities

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Journal of Engineering Technology and Applied Sciences
Volume:2 Issue:1
Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities

Applications of Weighted Arithmetic-Geometric Means Inequality to Functional Inequalities

Pages : 27-31

View : 39 | Download : 13

Publication Date : 2017-04-30

Article Type : Research Paper

Abstract :In this paper we prove the functional inequality $finsert ignore into journalissuearticles values(x);^{finsert ignore into journalissuearticles values(x);}\leq ginsert ignore into journalissuearticles values(x);^{ginsert ignore into journalissuearticles values(x);}$ for positive real functions $f$ and $g$ satisfying natural conditions and apply it to derive inequalities 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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