TITLE:
Generalization of the Pecaric-Rajic Inequality in a Quasi-Banach Space
AUTHORS:
Jianbing Cao
KEYWORDS:
Pecaric-Rajic Inequality, Dunkl-Williams Inequality, Triangle Inequality, Quasi-Banach Space
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.7 No.9,
August
31,
2017
ABSTRACT: 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.