文章基本信息

标题：Fractional trapezium type inequalities for twice differentiable preinvex functions and their applications
本地全文：下载
作者：Artion Kashuri ; Rozana Liko
期刊名称：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
印刷版ISSN：2146-5703
出版年度：2020
卷号：10
期号：2
页码：226-236
DOI：10.11121/ijocta.01.2020.00795
出版社：An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
摘要：Trapezoidal inequalities for functions of divers natures are useful in numerical computations. The authors have proved an identity for a generalized integral operator via twice differentiable preinvex function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identified. Some applications of presented results to special means have been analyzed. The ideas and techniques of this paper may stimulate further research.
关键词：Trapezium type integral inequalities;preinvexity;general fractional integrals