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| New Refinements of Hermite-Hadamard Inequalities for Quantum Integrals |
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| KeyWord:Convex functions, Hermite-Hadamard inequality, quantum integrals |
| Author Name | Affiliation | | H\"{u}seyin Budak | Department of Mathematics, Faculty of Science and Arts, Kocaeli University, Kocaeli 41001, T\"{u}rkiye
Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai 602105, Tamil Nadu, India |
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| Abstract: |
| In this study, we first introduce two functions including quantum integrals. Then, we prove some properties of these mappings such as convexity and monotony. Moreover, by using the newly defined mappings, we prove some refinements of the left hand side of Hermite-Hadamard inequality for left and right quantum integrals. |
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