On New Sulaiman-type Hardy Integral Inequalities
Abstract
In this article, we present new integral inequalities that relate a function to its primitive in the context of $L^p$-spaces on finite intervals. These inequalities can be presented as variations of the Sulaiman-type Hardy integral inequalities. One of our approach combines a new rearrangement of key integrals with the Chebyshev integral inequality. We then derive reverse forms of these inequalities to demonstrate the flexibility and broad applicability of the method.
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References
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