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On Beesack–Wirtinger Inequality

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Abstract

In this work, inequalities of Beesack–Wirtinger type for absolutely continuous functions whose derivatives belong to \(L_p\) spaces \(p>1\) are proved. Generalizations of the results for n-times differentiable functions are established. Consequently, two Ostrowski and Čebyšev type inequalities for absolutely continuous functions whose derivatives belong to \(L^p\) spaces \(p>1\) are provided.

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  1. Department of Mathematics, Faculty of Science and Information Technology Irbid National University, P.O. Box 2600 , Irbid, P.C. 21110, Jordan

    Mohammad W. Alomari

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  1. Mohammad W. Alomari
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Alomari, M.W. On Beesack–Wirtinger Inequality. Results Math 72, 1213–1225 (2017). https://doi.org/10.1007/s00025-016-0644-6

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