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Constructive Approximation

, Volume 14, Issue 2, pp 195–207 | Cite as

Elliptic Integral Inequalities, with Applications

  • G. D. Anderson
  • S.-L. Qiu
  • M. K. Vamanamurthy
Article

Abstract.

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

Key words. Elliptic integral, Inequality, Concave  Convex, Distortion, Modulus, Normal forms  Robin capacity. AMS Classification. Primary 33E05; Secondary 30C62.  <lsiheader> <onlinepub>8 May, 1998 <editor>Editors-in-Chief: &lsilt;a href=../edboard.html#chiefs&lsigt;R.A. DeVore  E.B. Saff&lsilt;/a&lsigt; <pdfname>14n2p195.pdf <pdfexist>yes <htmlexist>no <htmlfexist>no <texexist>yes <sectionname> </lsiheader> 

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Copyright information

© Springer-Verlag New York 1997

Authors and Affiliations

  • G. D. Anderson
    • 1
  • S.-L. Qiu
    • 2
  • M. K. Vamanamurthy
    • 3
  1. 1.Department of MathematicsA336 Wells Hall Michigan State University East Lansing USAUS
  2. 2.Hangzhou Institute of Electronics Engineering (HIEE)Hangzhou Peoples Republic of ChinaCN
  3. 3.Department of MathematicsUniversity of Auckland Private Bag 92019 AucklandNew Zealand

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