Optimal bounds for Neuman-Sándor mean in terms of the geometric convex combination of two Seiffert means

2016/01/07 by Hua-Ying Huang, Nan Wang, Bo-Yong Long · 1 citation
Mathematics · #Analytic and geometric function theory #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.1186/s13660-015-0955-2

openalex publication_date 2016/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

In this paper, we find the least value α and the greatest value β such that the double inequality P^α(a,b)T^1-α(a,b)< M(a,b)< P^β(a,b)T^1-β(a,b) holds for all a,b>0 with a≠ b , where M(a,b) , P(a,b) , and T(a,b) are the Neuman-Sándor, the first and second Seiffert means of two positive numbers a and b, respectively.

Cited by

• Neuman–Sándor mean [wikipedia]

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