Some New Inequalities With Proofs and Comments on Applications

Xingbo WANG, Zhikui DUAN, Wen WAN

Abstract


This article proves several new inequalities. The proved inequalities are all integrated with the floor function and one of them gives a bound estimation for the Euler's totient of the semiprimes. Detail mathematical deductions are presented and applicable cases for each inequality are also given with technical comments.                                                                                     

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DOI: https://doi.org/10.5539/jmr.v10n3p15

License URL: http://creativecommons.org/licenses/by/4.0

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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