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New bounds and fresh estimates for the HH integral inequality using concave functions

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Akademik Birimler

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Özdemir, Muhamet Emin

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Erhan SET

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In this study, new bounds are obtained for the right and left sides of HermiteHadamard integral inequality using the concave functions. The reason why we chose concave functions in the study is the ease of use of the methods applied to these functions (as Jensen integral inequality, as Favard inequality). To do this, we used the new lemmas.

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Power mean inequality, Jensen integral inequality, Hölder integral inequality, Favard inequality, Concavity

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