Extension of Stolarsky means by Euler-Radau expansions

J. Jaksetic, J. Pecaric, G. Roqia

Abstract


We present construction of exponentially convex functions via functionals that follow from some inequalities for convex functions. These inequalities are derived from expansions of Euler and Radau. Using fruitful properties of exponential convexity we construct various means that have nice monotone properties over defining parameters. We further show how known results about Cauchy means can be treated in a succinct way.


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Published: 2013-10-16

How to Cite this Article:

J. Jaksetic, J. Pecaric, G. Roqia, Extension of Stolarsky means by Euler-Radau expansions, Advances in Inequalities and Applications, Vol 2014 (2014), Article ID 7

Copyright © 2014 J. Jaksetic, J. Pecaric, G. Roqia. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Inequalities and Applications

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