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On two kinds of the reverse half-discrete Mulholland-type inequalities involving higher-order derivative function

Qiang Chen, Bicheng Yang

Journal of Inequalities and Applications · 2021

doi:10.1186/s13660-021-02674-z (opens in a new tab)

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Abstract

Abstract By means of the weight functions, Hermite–Hadamard’s inequality, and the techniques of real analysis, a new more accurate reverse half-discrete Mulholland-type inequality involving one higher-order derivative function is given. The equivalent statements of the best possible constant factor related to a few parameters, the equivalent forms, and several particular inequalities are provided. Another kind of the reverses is also considered.

Abstract licence: CC BY-NC-ND

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