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Generalization of the Pecaric-Rajic Inequality in a Quasi-Banach Space
Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China
- 1 Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China
Advances in Pure Mathematics·Volume 07 (2017)·Pages 467–471·Published 23 August 2017·DOI10.4236/apm.2017.79031
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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.
KeywordsPecaric-Rajic InequalityDunkl-Williams InequalityTriangle InequalityQuasi-Banach Space
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