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Integral Inequalities of Hermite–Hadamard Type for Extended s-Convex Functions and Applications

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In the paper, the authors set up an identity for a function whose third derivative is integrable, establish by the Hölder inequality some new integral inequalities of the Hermite–Hadamard type for extended s-convex functions in the second sense, and apply these integral inequalities to construct inequalities for several special means.
Title: Integral Inequalities of Hermite–Hadamard Type for Extended s-Convex Functions and Applications
Description:
In the paper, the authors set up an identity for a function whose third derivative is integrable, establish by the Hölder inequality some new integral inequalities of the Hermite–Hadamard type for extended s-convex functions in the second sense, and apply these integral inequalities to construct inequalities for several special means.

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