International Journal of Nonlinear Analysis and Applications

A new approach to Ky Fan type inequalities

Articles in Press

Document Type : Research Paper

Author

Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran

Abstract

In this article, using a discrete method, we get some new interesting recursive identities concerning arithmetic, geometric, and harmonic means of positive numbers, from which, the most important Ky Fan-type inequalities are handled by induction at once.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 17 February 2026
  • Receive Date: 24 December 2025
  • Accept Date: 14 January 2026