通过 GA-convexity 进一步完善费耶类型的不等式

An International Journal of Optimization and Control: Theories & Applications (IJOCTA) Pub Date : 2024-07-12 DOI:10.11121/ijocta.1482

Muhammad Amer Latif, H. Budak, A. Kashuri

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引用次数: 0

摘要

在本研究中，我们引入了一些与赫尔米特-哈达马德和费耶型积分不等式相关的新映射，这些不等式已利用 GA 凸函数证明。因此，我们得到了某些新的 Fejer 型不等式，这些不等式是对已得到的 Hermite-Hadamard 和 Fejer 型积分不等式的完善。

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Further refinements and inequalities of Fejer's type via GA-convexity

In this study, we introduce some new mappings in connection with Hermite-Hadamard and Fejer type integral inequalities which have been proved using the GA-convex functions. As a consequence, we obtain certain new inequalities of the Fejer type that provide refinements of the Hermite-Hadamard and Fejer type integral inequalities that have already been obtained.

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An International Journal of Optimization and Control: Theories & Applications (IJOCTA)

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