Skip to content
Research Article Open access CC BY 4.0

Optimal Bounds of the Arithmetic Mean by Harmonic, Contra-harmonic and New Seiffert-like Means

Hui-zuo Xu, Wei-Mao Qian

Asian Research Journal of Mathematics · pp. 30–36 · Published 19 May 2020

10.9734/arjom/2020/v16i630195

Abstract

We provide the optimal bounds for the arithmetic mean in terms of harmonic, contra-harmonic and new Seiffert-like means.

Seiffert-like mean arithmetic mean harmonic mean contra-harmonic mean.

Cited by 2

Refinements of bounds for the arithmetic mean by new Seiffert-like means

Wei-Mao Qian, School of Continuing Education, Huzhou Vocational & Technical College, Huzhou 313000, China, Tie-Hong Zhao · AIMS Mathematics · 2021

Showing 1 of 2 known citations — external sources report more than can currently be individually listed.

Article metrics

Real usage data collected on this platform.

14

Page views

0

PDF downloads

1

Outbound clicks

2

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.