Sharp bounds for Seiffert and Neuman-Sándor means in terms of generalized logarithmic means

2013/01/07 by Yu‐Ming Chu, Bo-Yong Long, Wei-Ming Gong +1 · 1 citation
Mathematics · #Analytic and geometric function theory #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.1186/1029-242x-2013-10

openalex publication_date 2013/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23

Abstract

In this paper, we prove three sharp inequalities as follows: , and for all with . Here, , , and are the r th generalized logarithmic, Neuman-Sándor, first and second Seiffert means of a and b, respectively. MSC:26E60.

Cited by

• A note on the Neuman-Sándor Mean
• Neuman–Sándor mean [wikipedia]