Finite Field Hudzik-Landes-Dragomir-Kato-Saito-Tamura Inequality

Hudzik and Landes [Math. Ann., 1992] derived a major generalization of the triangle inequality for two nonzero elements in normed linear spaces, which was extended to finitely many nonzero elements independently by Dragomir [Bull. Aust. Math. Soc., 2006] and by Kato, Saito and Tamura [Math. Inequal. Appl., 2007]. We derive a finite field version of Hudzik-Landes-Dragomir-Kato-Saito-Tamura inequality.