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

LADISLAV MATEJÍČKA

doi:10.9734/BJMCS/2013/3049

Research Article Open access CC BY 3.0

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

LADISLAV MATEJÍČKA

Journal of Advances in Mathematics and Computer Science · pp. 265–274 · Published 29 Apr 2013

10.9734/BJMCS/2013/3049

Abstract

In this paper, the bounds for convex combination of the ﬁrst Seiffert and Logarithmic means by general Heronian mean are proved, where The left bound is the best possible.

Seiffert mean Heronian mean Logarithmic mean convex combination bounds

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LADISLAV MATEJÍČKA (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 , 265–274. https://doi.org/10.9734/BJMCS/2013/3049

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

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