Three versions of an inequality

Three versions of the inequality Σⁿ⁻¹ᵢ₌₁ 1/aᵢ(aᵢ₊₁+1) ≥ (n/(1+Πⁿᵢ₌₁aᵢ)) - (1/(aₙ(a₁+1))) are formulated and proved, where a₁,...,aₙ>0 are real numbers. An open problem is formulated.

Bibliographic Details
Published in:Notes on Number Theory and Discrete Mathematics
Main Author: Krassimir Atanassov
Format: Article
Language:English
Published: "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences 2025-09-01
Subjects:
Online Access:https://nntdm.net/papers/nntdm-31/NNTDM-31-3-639-645.pdf