Note on Dunkl-Williams inequality with \(n\) elements. (English) Zbl 1381.46014

Mitani, Ken-Ichi; Tabiraki, Noriyuki; Ohwada, Tomoyoshi

Nihonkai Math. J. 27, No. 1-2, 125-133 (2016).

Summary: Recently, J. Pečarić and R. Rajić [Math. Inequal. Appl. 10, No. 2, 461–470 (2007; Zbl 1120.26025)] established a generalization of the Dunkl-Williams inequality for \(n\) elements in a Banach space. In this note we show a refinement of this inequality.

MSC:

46B20

Geometry and structure of normed linear spaces

Keywords:

Dunkl-Williams inequality; triangle inequality

Citations:

Zbl 1120.26025