Author(s)

Jianbing Cao

Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China.

In the present paper, we shall give an extension of the well known Pecaric-Rajic inequality in a quasi-Banach space, we establish the generalized inequality for an arbitrary number of finitely many nonzero elements of a quasi-Banach space, and obtain the corresponding upper and lower bounds. As a result, we get some more general inequalities.

Pecaric-Rajic Inequality, Dunkl-Williams Inequality, Triangle Inequality, Quasi-Banach Space

Cao, J. (2017) Generalization of the Pecaric-Rajic Inequality in a Quasi-Banach Space. Advances in Pure Mathematics, 7, 467-471. doi: 10.4236/apm.2017.79031.