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Integral inequalities of Hermite-Hadamard type for quasi-convex functions with applications
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-09-18 , DOI: 10.3934/math.2020468 Pshtiwan Othman Mohammed , , Miguel Vivas-Cortez , Thabet Abdeljawad , Yenny Rangel-Oliveros , , , ,
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-09-18 , DOI: 10.3934/math.2020468 Pshtiwan Othman Mohammed , , Miguel Vivas-Cortez , Thabet Abdeljawad , Yenny Rangel-Oliveros , , , ,
There is a strong connection between convexity and inequalities. So, techniques from each concept applies to the other due to the strong correlation between them; specifically, in the past few years. In this attempt, we consider the Hermite–Hadamard inequality and related inequalities for the class of functions whose absolute value of the third derivative are quasi-convex functions. Finally, the applications of our findings for special functions and particular functions are pointed out.
中文翻译:
拟凸函数的Hermite-Hadamard型积分不等式及其应用
凸度和不等式之间有很强的联系。因此,由于每个概念的技术之间具有很强的相关性,因此它们相互之间都适用。特别是在过去的几年中。在此尝试中,我们考虑三阶导数的绝对值为准凸函数的函数类的Hermite-Hadamard不等式和相关不等式。最后,指出了我们的发现对特殊功能和特殊功能的应用。
更新日期:2020-09-20
中文翻译:
拟凸函数的Hermite-Hadamard型积分不等式及其应用
凸度和不等式之间有很强的联系。因此,由于每个概念的技术之间具有很强的相关性,因此它们相互之间都适用。特别是在过去的几年中。在此尝试中,我们考虑三阶导数的绝对值为准凸函数的函数类的Hermite-Hadamard不等式和相关不等式。最后,指出了我们的发现对特殊功能和特殊功能的应用。