An alternative and united proof of a double inequality bounding the arithmetic-geometric mean

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Qi, Feng and Sofo, Anthony (2009) An alternative and united proof of a double inequality bounding the arithmetic-geometric mean. U.P.B. Sci. Bull., Series A, 71 (3). pp. 69-76. ISSN 1223-7027

Abstract

In the paper, we provide an alternative and united proof of a double in-equality for bounding the arithmetic-geometric mean. Moreover we prove that the bounding constants of the double inequality are the best possible.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/4539
Official URL http://www.scientificbulletin.upb.ro/rev_docs/arhi...
Subjects Historical > Faculty/School/Research Centre/Department > School of Engineering and Science
Historical > FOR Classification > 0102 Applied Mathematics
Historical > SEO Classification > 970101 Expanding Knowledge in the Mathematical Sciences
Keywords ResPubID17622, alternative and united proof, double inequality, arithmetic-geometric mean, complete elliptic integral of the first kind, generalized logarithmic mean
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