Weighted integral inequalities related to Wirtinger’s result for p-norms with applications

Silvestru Sever Dragomir

Abstract


In this paper we establish several natural consequences of some Wirtinger type integral inequalities for p-norms. The corresponding weighted versions and applications related to the weighted trapezoid inequalities, to weighted Gruss’ type inequalities and reverses of Jensen’s inequality are also provided.

Keywords


Wirtinger’s inequality; trapezoid inequality; Gruss’ inequality; Jensen’s inequality

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References


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DOI: http://dx.doi.org/10.17951/a.2021.75.1.15-36
Date of publication: 2021-07-24 12:06:59
Date of submission: 2021-07-21 20:22:33


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