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Elliptic Integral Inequalities, with Applications

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Constructive Approximation Aims and scope

Abstract.

The authors study monotoneity and convexity of certain combinations of elliptic integrals and obtain sharp inequalities for them. Applications are provided.

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Authors and Affiliations

  1. Department of Mathematics, A336 Wells Hall Michigan State University East Lansing USA, MI 48824, US

    G. D. Anderson

  2. Hangzhou Institute of Electronics Engineering (HIEE), Hangzhou Peoples Republic of China, 310037, CN

    S.-L. Qiu

  3. Department of Mathematics, University of Auckland Private Bag 92019 Auckland, New Zealand

    M. K. Vamanamurthy

Authors
  1. G. D. Anderson
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  2. S.-L. Qiu
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  3. M. K. Vamanamurthy
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Additional information

November 23, 1994. Date revised: February 5, 1997.

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Anderson, G., Qiu, SL. & Vamanamurthy, M. Elliptic Integral Inequalities, with Applications. Constr. Approx. 14, 195–207 (1998). https://doi.org/10.1007/s003659900070

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  • DOI: https://doi.org/10.1007/s003659900070

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