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
are proved, where The left bound is the best possible.
Keywords: Seiffert mean, Heronian mean, Logarithmic mean, convex combination, bounds