Sharp Bounds for the Weighted Geometric Mean of the First Seiffert and Logarithmic Means in terms of Weighted Generalized Heronian Mean

Optimal bounds for the weighted geometric mean of the first Seiffert and logarithmic means by weighted generalized Heronian mean are proved. We answer the question: for what the greatest value and the least value such that the double inequality, , holds for all with are. Here, and denote the...

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Bibliographic Details
Published in:Abstract and Applied Analysis
Main Author: Ladislav Matejíčka
Format: Article
Language:English
Published: Wiley 2013-01-01
Online Access:http://dx.doi.org/10.1155/2013/721539