Bounds for the Convex Combination of the First Seiffert and Logarithmic Means in Terms of Generalized Heronian Mean

LADISLAV MATEJÍČKA *

Faculty of Industrial Technologies in Púchov Trenčín University of Alexander Dubček in Trenčín I. Krasku 491/30, 02001 Púchov, Slovakia.

*Author to whom correspondence should be addressed.


Abstract

In this paper, the bounds for convex combination of the first Seiffert and Logarithmic means by
general Heronian mean 2.PNG

are proved, where 3.PNG The left bound is the best possible.

Keywords: Seiffert mean, Heronian mean, Logarithmic mean, convex combination, bounds


How to Cite

MATEJÍČKA, LADISLAV. 2013. “Bounds for the Convex Combination of the First Seiffert and Logarithmic Means in Terms of Generalized Heronian Mean”. Journal of Advances in Mathematics and Computer Science 3 (3):265-74. https://doi.org/10.9734/BJMCS/2013/3049.

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