creative_2017_26_2_153_162_001

A proof of Garfunkel inequality and of some related results in inner product spaces


Marinescu, Dan Ștefan and Monea, Mihai


Abstract

creative_2017_26_2_153_162_abstract

In this paper, we will present a inner product space proof of a geometric inequality proposed by J. Garfunkel in American Mathematical Monthly [Garfunkel, J., \textit{Problem 2505}, American Mathematical
Monthly, \textbf{81} (1974), No. 11] and consider some other similar results.