Some New Ostrowski Type Inequalities Concerning Differentiable Generalized Relative Semi-(r; m, p, q, h1, h2)-Preinvex Mappings

Artion Kashuri; Rozana Liko; Tingsong Du

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Some New Ostrowski Type Inequalities Concerning Differentiable Generalized Relative Semi-(r; m, p, q, h1, h2)-Preinvex Mappings

机译：关于可微广义相对半-（r; m，p，q，h1，h2）-前不变映象的一些新的Ostrowski型不等式

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摘要

In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex sets. By using the notion of generalized relative semi-(r; m, p, q, h1, h2)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article.

机译：在本文中，我们首先提出了一个新的积分身份，涉及在m-invex集上定义的可微映射。通过使用广义相对半（r; m，p，q，h1，h2）-前不变性的概念和获得的同一性作为辅助结果，建立了有关Ostrowski型不等式的一些新估计。指出可以从本文的主要结果中得出一些新的特殊情况。

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《Turkish Journal of Analysis and Number Theory》 |2018年第1期|共14页
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Artion Kashuri; Rozana Liko; Tingsong Du;
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Some New Ostrowski Type Inequalities Concerning Differentiable Generalized Relative Semi-(r; m, p, q, h1, h2)-Preinvex Mappings

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