Cauchy-type means for positive linear functionals

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M. Anwar
J. Pecaric
M. Rodi´c Lipanovi´c


Some mean-value theorems of the Cauchy type, which are connected with Jensen's inequality, are given in \cite{Mercer2} in discrete form and in \cite{PPSri} in integral form. Here we give the generalization of that result for positive linear functionals. Using that result, new means of Cauchy type for positive linear functionals are given. Monotonicity of these new means is also discussed.

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How to Cite
Anwar, M., Pecaric, J., & Lipanovi´c, M. R. (2011). Cauchy-type means for positive linear functionals. Tamkang Journal of Mathematics, 42(4), 511–530.


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