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Generalization of the Pecaric-Rajic Inequality in a Quasi-Banach Space

DOI: 10.4236/apm.2017.79031, PP. 467-471

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

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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.


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