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On Pólya–Szegö and Čebyšev type inequalities via generalized k -fractional integrals
Advances in Difference Equations ( IF 4.1 ) Pub Date : 2020-03-18 , DOI: 10.1186/s13662-020-02583-3
Saima Rashid , Fahd Jarad , Humaira Kalsoom , Yu-Ming Chu

Abstract

In this paper, we introduce the generalized k-fractional integral in terms of a new parameter \(k>0\), present some new important inequalities of Pólya–Szegö and Čebyšev types by use of the generalized k-fractional integral. Our consequences with this new integral operator have the abilities to implement the evaluation of many mathematical problems related to real world applications.



中文翻译:

关于Pólya–Szegö和Čebyšev类型不等式,通过广义k分形积分

摘要

在本文中,我们介绍了广义ķ -fractional积分在一个新的参数方面\(K> 0 \)时,通过使用广义的呈现多聚腺苷酸Szegö和Čebyšev类型的一些新的重要不等式ķ -fractional一体。我们使用这种新的积分算子的结果是能够对与实际应用相关的许多数学问题进行评估。

更新日期:2020-03-20
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