Research article

Monotonicity and inequalities related to complete elliptic integrals of the second kind

  • Received: 28 December 2019 Accepted: 09 March 2020 Published: 17 March 2020
  • MSC : Primary 33E05; Secondary 26A48, 26D15, 33C75

  • In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind.

    Citation: Fei Wang, Bai-Ni Guo, Feng Qi. Monotonicity and inequalities related to complete elliptic integrals of the second kind[J]. AIMS Mathematics, 2020, 5(3): 2732-2742. doi: 10.3934/math.2020176

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  • In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the complete elliptic integrals of the second kind.


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