涉及特殊函数的广义分数阶积分的阿达马不等式和费耶尔 - 阿达马不等式。
Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions.
作者信息
Kang Shin Min, Farid Ghulam, Nazeer Waqas, Tariq Bushra
机构信息
1Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju, Korea.
2Center for General Education, China Medical University, Taichung, Taiwan.
出版信息
J Inequal Appl. 2018;2018(1):119. doi: 10.1186/s13660-018-1701-3. Epub 2018 May 18.
In this paper we prove the Hadamard and the Fejér-Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.
在本文中，我们证明了涉及扩展广义米塔格 - 莱夫勒函数的扩展广义分数积分算子的哈达玛不等式和费耶尔 - 哈达玛不等式。扩展广义米塔格 - 莱夫勒函数包含许多已知的特殊函数。对于扩展广义米塔格 - 莱夫勒函数的特殊情况，我们有几个这样的不等式。此外，我们还指出了可以得到的已知结果。
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