Some integral inequalities related to Wirtinger's result for \(p\)-norms

S. S. Dragomir

doi:10.4067/S0719-06462021000300457

DOI:

https://doi.org/10.4067/S0719-06462021000300457

Abstract

In this paper we establish several natural consequences of some Wirtinger type integral inequalities for \(p\)-norms. Applications related to the trapezoid unweighted inequalities, of Grüss' type inequalities and reverses of Jensen's inequality are also provided.

Keywords

Wirtinger‘s inequality , trapezoid inequality , Grüss‘ inequality , Jensen‘s inequality

S. S. Dragomir Mathematics, College of Engineering & Science, Victoria University, PO Box 14428 Melbourne City, MC 8001, Australia – DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science & Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa.

Pages: 457–468
Date Published: 2021-12-01
Vol. 23 No. 3 (2021)

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