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 Cebysev type inequalities for absolutely continuous functions whose derivatives belong to \(L^p\) spaces \(p>1\) are provided.

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