论文标题
Chebyshev-pólya-Szegö的不平等通过广义比例分数运算符
Inequalities of Chebyshev-Pólya-Szegö Type via Generalized Proportional Fractional Integral Operators
论文作者
论文摘要
这项研究是分数分析与不平等理论之间有着牢固联系的一个例子，其中包括借助广义比例分数积分运算符获得的Pólya-Szeg％Ö-Chebyshev类型的新不平等。结果是通过使用概括的比例分数积分运算符进行的，一些经典不平等，例如AM-GM不平等，Cauchy-Schwarz的不平等和泰勒级数序列扩展指数功能。这些发现为某些类型的不平等现象提供了新的方法，这些不平等现象涉及不平等理论中两个功能的产物。
This study is an example of a solid connection between fractional analysis and inequality theory, and includes new inequalities of the Pólya-Szeg% ö-Chebyshev type obtained with the help of Generalized Proportional Fractional integral operators. The results have been performed by using Generalized Proportional Fractional integral operators, some classical inequalities such as AM-GM inequality, Cauchy-Schwarz inequality and Taylor series expansion of exponential function. The findings give new approaches to some types of inequalities that have involving the product of two functions in inequality theory.
