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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 09 > No. 3


Geometrically Nonconvex Functions and Integral Inequalities

PP: 1273-1282
Muhammad Aslam Noor, Mihai Postolache, Khalida Inayat Noor, Muhammad Uzair Awan,
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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