A Note on a Recent Conjecture in Mathematics Magazine
Yaakov Malinovsky
Abstract
In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results
Table of Contents
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A Note on a Recent Conjecture in Mathematics Magazine
Authors
Abstract
In this note, we establish the validity of a conjecture recently proposed in Mathematics Magazine and connect it to the existing interesting results
Paper Structure
This paper contains 1 theorem, 3 equations.
Key Result
Theorem 1
Let $\varphi(x)$ be defined for $x_1\geq \cdots \geq x_n$. Then $\varphi(a)\geq \varphi(b)$ for all $a\succ b$ if and only if $\varphi$ is a Schur function.
Theorems & Definitions (3)
- Definition 1: MOP1967
- Definition 2: MOP1967
- Theorem 1: Schur S1923, Ostrowski O1952