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Generalized Convexity and Integral Inequalities |
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PP: 233-243 |
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Author(s) |
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Muhammad Aslam Noor,
Khalida Inayat Noor,
Muhammad Uzair Awan,
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Abstract |
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In this paper, we consider a very useful and significant class of convex sets and convex functions that is relative convex sets
and relative convex functions which was introduced and studied by Noor [20]. Several new inequalities of Hermite-Hadamard type for
relative convex functions are established using different approaches. We also introduce relative h-convex functions and is shown that
relative h-convex functions include Noor relative convex functions as special cases. Results obtained in this paper may inspire future
research in convex analysis and related optimization fields. |
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