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

MATEJÍČKA, LADISLAV (2013) Bounds for the Convex Combination of the First Seiffert and Logarithmic Means in Terms of Generalized Heronian Mean. British Journal of Mathematics & Computer Science, 3 (3). pp. 265-274. ISSN 2231-0851

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Official URL: https://doi.org/10.9734/BJMCS/2013/3049

Abstract

n this paper, the bounds for convex combination of the first Seiffert and Logarithmic means bygeneral Heronian meanHp(α)(a,b)< αP(a,b) + (1−α)L(a,b)< Hq(α)(a,b)are proved, wherea,b >0, a6=b, α∈[0,1].The left bound is the best possible.

Item Type:	Article
Subjects:	Science Global Plos > Mathematical Science
Depositing User:	Unnamed user with email support@science.globalplos.com
Date Deposited:	22 Jun 2023 09:08
Last Modified:	05 Sep 2025 04:28
URI:	http://research.article2submit.com/id/eprint/1208

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