Asian Research Journal of Mathematics

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

Hui-Zuo Xu *

Teacher Development Center, Wenzhou Broadcast and TV University, Wenzhou 325000, China.

Wei-Mao Qian

School of Continuing Education, Huzhou Broadcast and TV University, Huzhou 313000, China.

*Author to whom correspondence should be addressed.

---

Abstract

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

Keywords: Seiffert-like mean, arithmetic mean, harmonic mean, contra-harmonic mean.

---

---