Some generalized fractional integral Simpson’s type inequalities with applications

AIMS Mathematics

Sabir Hussain¹  Javairiya Khalid¹  Yu Ming Chu² 

[1] 1 Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan;2 Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China 3 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China;

关键词: simpson’s inequality;    cumulative distribution function;    fractional integral;    f -divergence measure;   

DOI  :  10.3934/math.2020375

来源: DOAJ

【 摘 要 】

In the article, we establish a Simpson-type generalized identity containing multi-parameters and derive some new estimates for the generalized Simpson’s quadrature rule via the Raina fractional integrals. As applications, we provide several inequalities for the f -divergence measures and probability density functions.

【 授权许可】

Unknown