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Hermite-Hadamard type inequalities for a new class of harmonically convex functions


Abstract


In this paper, we introduce a new class of harmonically convex functions. Several interesting Hermite-Hadamard type inequalities are established. Results obtained are extensions and generalizations of known results in literature. Applications to special means of real numbers are also given.

DOI Code: 10.1285/i15900932v38n1p23

Keywords: Harmonically convex functions; harmonically $\phi_{h-s}$ convex functions; Hermite-Hadamard inequality; fractional integral

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