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Geometrically Nonconvex Functions and Integral Inequalities |
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PP: 1273-1282 |
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Author(s) |
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Muhammad Aslam Noor,
Mihai Postolache,
Khalida Inayat Noor,
Muhammad Uzair Awan,
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Abstract |
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In this paper, we consider and investigate geometrically nonconvex functions. We derive several Hermite-Hadamard type
inequalities for geometrically (GG) nonconvex (relative convex) function and geometrically arithmetically (GA) nonconvex (relative
convex) functions. We also obtain some fractional Hermite-Hadamard type inequalities. It is shown that one can obtain the previously
known results as special cases from our results. The ideas and techniques of this paper may inspire further research in this field. |
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