通过凸函数的新分数不等式和综合Riemann-Liouville积分

IF 0.7 Q2 MATHEMATICS
Abd-Allah Hyder
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引用次数: 0

摘要

在大多数应用科学领域中,不等式在构造数学系统和相关解函数中是重要的。凸性对数学主题的分类也有重要的影响。利用Riemann-Liouville积分的一个综合版本和函数的凸性条件,给出并证明了新的分数阶不等式。根据目前的文献,这项工作是对文献的一种新颖的补充,提出的解决分数不等式问题的技术是直接和简单的执行。也很容易看出,所有已经发展起来的不平等都是包容性的,可以归结为文献中提出的各种其他不平等。此外,还提供了一些带有图形的数值例子来支持理论结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
New Fractional Inequalities through Convex Functions and Comprehensive Riemann–Liouville Integrals
In most fields of applied sciences, inequalities are important in constructing mathematical systems and associated solution functions. Convexity also has a significant impact on an assortment of mathematical topics. By utilizing a comprehensive version of Riemann–Liouville integrals and the functions’ convexity condition, we present and prove novel fractional inequalities. According to the current literature, this work is a novel addition to the literature, and the proposed technique for addressing fractional inequalities issues is straightforward and simple to execute. It is also easy to see that all of the inequalities that have been developed are inclusive and may be reduced to a variety of other inequalities that have been proposed in the literature. Additionally, certain numeric examples with graphs are provided to support the theoretical results.
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