Research article

Further generalization of Walker’s inequality in acute triangles and its applications

  • Received: 06 July 2020 Accepted: 18 August 2020 Published: 25 August 2020
  • MSC : 51M16

  • In this paper, we prove a generalization of Walker's inequality in acute (non-obtuse) triangles by using Euler's inequality, Ciamberlini's inequality and a result due to the author, from which a number of corollaries are obtained. We also present three conjectured inequalities involving sides of an acute (non-obtuse) triangle and one exponent as open problems.

    Citation: Jian Liu. Further generalization of Walker’s inequality in acute triangles and its applications[J]. AIMS Mathematics, 2020, 5(6): 6657-6672. doi: 10.3934/math.2020428

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  • In this paper, we prove a generalization of Walker's inequality in acute (non-obtuse) triangles by using Euler's inequality, Ciamberlini's inequality and a result due to the author, from which a number of corollaries are obtained. We also present three conjectured inequalities involving sides of an acute (non-obtuse) triangle and one exponent as open problems.


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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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