A refinement of the arithmetic–geometric mean inequality

Abstract

In the short note, the authors present a refinement of the well-known arithmetic–geometric mean inequality by virtue of Taylor's theorem.

Keywords:

• arithmetic–geometric mean inequality
• Taylor's theorem
• differentiable functions

Acknowledgements

The authors wish to express their heartfelt thanks to the referees and Dr Shahid Qaisar for their detailed and helpful suggestions for revising the manuscript.