利用扩展广义Mittag-Leffler函数推广类似于预凸函数的不等式

2019 International Conference on Applied and Engineering Mathematics (ICAEM) Pub Date : 2019-08-01 DOI:10.1109/ICAEM.2019.8853807

S. Rashid, A. Akdemir, M. Noor, K. Noor

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引用次数: 9

摘要

本文建立了一类扩展广义分数阶积分算子的新的Hadamard-type不等式和Fejer-Hadamard-type不等式，该算子涉及m-preinvexity和m-preinvexity的扩展广义Mittag-Leffler函数。这些结果包括与扩展广义Mittag-Leffler函数的特殊情况相对应的几个不等式。应用我们的结果可以得到已知的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalization of Inequalities Analogous to Preinvex Functions via Extended Generalized Mittag-Leffler Functions

In this article, we establish new Hadamard-type and the Fejer-Hadamard-type inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler functions for preinvexity and m-preinvexity. These results include several inequalities corresponding to special cases of the extended generalized Mittag-Leffler functions. The known results can be obtained as applications of our results.

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来源期刊

2019 International Conference on Applied and Engineering Mathematics (ICAEM)

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